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35B65 Smoothness and regularity of solutions of PDE (100 articles)

• Boukarou, Aissa; Guerbati, Kaddour; Zennir, Khaled: On the radius of spatial analyticity for the higher order nonlinear dispersive equation. (English). Mathematica Bohemica, vol. 147 (2022), issue 1, pp. 19-32
• Zhang, Zujin; Tong, Chenxuan: Remarks on the a priori bound for the vorticity of the axisymmetric Navier-Stokes equations. (English). Applications of Mathematics, vol. 67 (2022), issue 4, pp. 485-507
• Zhang, Zujin; Zhang, Yali: An improved regularity criteria for the MHD system based on two components of the solution. (English). Applications of Mathematics, vol. 66 (2021), issue 3, pp. 451-460
• Liu, Ruikuan; Yang, Jiayan: Global strong solutions of a 2-D new magnetohydrodynamic system. (English). Applications of Mathematics, vol. 65 (2020), issue 1, pp. 105-120
• Zhang, Zujin; Wu, Chupeng; Zhou, Yong: On ratio improvement of Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 4, pp. 1165-1175
• Dall'Aglio, Andrea; Segura de León, Sergio: Regularity of renormalized solutions to nonlinear elliptic equations away from the support of measure data. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 2, pp. 379-390
• Arkhipova, Arina A.; Stará, Jana: Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 60 (2019), issue 2, pp. 231-267
• Zhang, Zujin; Yuan, Weijun; Zhou, Yong: Some remarks on the Navier-Stokes equations with regularity in one direction. (English). Applications of Mathematics, vol. 64 (2019), issue 3, pp. 301-308
• Hošek, Radim; Mácha, Václav: Weak-strong uniqueness for Navier-Stokes/Allen-Cahn system. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 3, pp. 837-851
• Bonafede, Salvatore: Hölder continuity of bounded generalized solutions for some degenerated quasilinear elliptic equations with natural growth terms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 59 (2018), issue 1, pp. 45-64
• Zhang, Zujin: Serrin-type regularity criterion for the Navier-Stokes equations involving one velocity and one vorticity component. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 1, pp. 219-225
• Jüngel, Ansgar: Cross-Diffusion Systems with Entropy Structure. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 181-190
• Mácha, Václav: A short note on $L^q$ theory for Stokes problem with a pressure-dependent viscosity. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 2, pp. 317-329
• Sani, Ahmed; Laasri, Hafida: Evolution equations governed by Lipschitz continuous non-autonomous forms. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 2, pp. 475-491
• Yamazaki, Kazuo: On the global regularity of $N$-dimensional generalized Boussinesq system. (English). Applications of Mathematics, vol. 60 (2015), issue 2, pp. 109-133
• Neustupa, Jiří: A geometric improvement of the velocity-pressure local regularity criterion for a suitable weak solution to the Navier-Stokes equations. (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 685-698
• Nittka, Robin: Inhomogeneous parabolic Neumann problems. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 3, pp. 703-742
• Druet, Pierre-Etienne: Global Lipschitz continuity for elliptic transmission problems with a boundary intersecting interface. (English). Mathematica Bohemica, vol. 138 (2013), issue 2, pp. 185-224
• Hung, Nguyen Manh; Long, Hoang Viet; Son, Nguyen Thi Kim: On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points. (English). Applications of Mathematics, vol. 58 (2013), issue 1, pp. 63-91
• Breit, Dominic: Smoothness properties of solutions to the nonlinear Stokes problem with nonautonomous potentials. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 4, pp. 493-508
• You, Shujun; Guo, Boling; Ning, Xiaoqi: Initial boundary value problem for generalized Zakharov equations. (English). Applications of Mathematics, vol. 57 (2012), issue 6, pp. 581-599
• Han, Pigong: Interior regularity of weak solutions to the perturbed Navier-Stokes equations. (English). Applications of Mathematics, vol. 57 (2012), issue 5, pp. 427-444
• Boussandel, Sahbi; Chill, Ralph; Fašangová, Eva: Maximal regularity, the local inverse function theorem, and local well-posedness for the curve shortening flow. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 2, pp. 335-346
• Itou, Hiromichi; Kovtunenko, Victor A.; Tani, Atusi: The interface crack with Coulomb friction between two bonded dissimilar elastic media. (English). Applications of Mathematics, vol. 56 (2011), issue 1, pp. 69-97
• Schadewaldt, Nicole: The microstructure of Lipschitz solutions for a one-dimensional logarithmic diffusion equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 2, pp. 227-255
• Veraar, Mark; Weis, Lutz: A note on maximal estimates for stochastic convolutions. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 3, pp. 743-758
• Krejčí, Pavel; Panizzi, Lucia: Regularity and uniqueness in quasilinear parabolic systems. (English). Applications of Mathematics, vol. 56 (2011), issue 4, pp. 341-370
• Aramaki, Junichi: Estimate of the Hausdorff measure of the singular set of a solution for a semi-linear elliptic equation associated with superconductivity. (English). Archivum Mathematicum, vol. 46 (2010), issue 3, pp. 185-201
• Drábek, Pavel: Recent results on quasilinear differential equations. I. (English). In: Rákosník, Jiří (ed.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the International School held in Třešť, September 11-17, 2010. Vol. 9. Institute of Mathematics AS CR, Praha, 2011. pp. 1-29
• Farwig, R.; Sohr, H.: Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in $\Bbb R^n$. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 1, pp. 61-79
• Vasseur, Alexis: Regularity criterion for 3D Navier-Stokes equations in terms of the direction of the velocity. (English). Applications of Mathematics, vol. 54 (2009), issue 1, pp. 47-52
• Fattorusso, Luisa: A global differentiability result for solutions of nonlinear elliptic problems with controlled growths. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 113-129
• Wolf, Jörg: Interior regularity of weak solutions to the equations of a stationary motion of a non-Newtonian fluid with shear-dependent viscosity. The case $q=\frac{3d}{d+2}$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 4, pp. 659-668
• Li, Fengquan: Regularity for entropy solutions of a class of parabolic equations with irregular data. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 69-82
• Huy, Nguyen Duc; Stará, Jana: On existence and regularity of solutions to a class of generalized stationary Stokes problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 2, pp. 241-264
• Prüss, Jan; Saal, Jürgen; Simonett, Gieri: Analytic solutions for the classical two-phase Stefan problem. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 415-425
• Medková, Dagmar: Boundedness of the solution of the third problem for the Laplace equation. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 2, pp. 317-340
• Montgomery-Smith, Stephen: Conditions implying regularity of the three dimensional Navier-Stokes equation. (English). Applications of Mathematics, vol. 50 (2005), issue 5, pp. 451-464
• Poulou, M. N.; Stavrakakis, N. M.: Eigenvalue questions on some quasilinear elliptic problems. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 457-460
• Daněček, Josef; John, Oldřich; Stará, Jana: Interior regularity for weak solutions of nonlinear second order elliptic systems. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 165-169
• Rocca, Elisabetta: Well-posedness and regularity for a parabolic-hyperbolic Penrose-Fife phase field system. (English). Applications of Mathematics, vol. 50 (2005), issue 5, pp. 415-450
• Daněček, Josef; Nikodým, Marek: An example of a nonlinear second order elliptic system in three dimension. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 3, pp. 431-442
• Idone, Giovanna: Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 4, pp. 817-841
• Leonardi, S.: A maximum principle for linear elliptic systems with discontinuous coefficients. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 3, pp. 457-474
• Penel, Patrick; Pokorný, Milan: Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity. (English). Applications of Mathematics, vol. 49 (2004), issue 5, pp. 483-493
• Skalák, Zdeněk: Additional note on partial regularity of weak solutions of the Navier-Stokes equations in the class $L^\infty (0,T,L^3(\Omega )^3)$. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 153-159
• Neustupa, Jiří: The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 547-558
• Marchi, Silvana: $C^{1,\alpha}$ local regularity for the solutions of the $p$-Laplacian on the Heisenberg group. The case $1+\frac{1}{\sqrt{5}}<p\le2$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 1, pp. 33-56
• Medková, Dagmar: Continuous extendibility of solutions of the Neumann problem for the Laplace equation. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 2, pp. 377-395
• Medková, Dagmar: Continuous extendibility of solutions of the third problem for the Laplace equation. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 669-688
• Skalák, Zdeněk: Conditions of Prodi-Serrin's type for local regularity of suitable weak solutions to the Navier-Stokes equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 4, pp. 619-639
• Di Fazio, Giuseppe; Fanciullo, Maria Stella: Gradient estimates for elliptic systems in Carnot-Carathéodory spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 4, pp. 605-618
• Saddi, Adel: Holomorphic subordinated semigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 457-466
• Leonardi, S.: Weighted Miranda-Talenti inequality and applications to equations with discontinuous coefficients. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 1, pp. 43-59
• Neustupa, Jiří; Pokorný, Milan: Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 469-481
• Kahane, Charles S.: A gradient estimate for solutions of the heat equation. II. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 39-44
• Amrouche, Cherif; Nečasová, Šárka: Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 265-274
• Ragusa, Maria Alessandra; Zamboni, Pietro: A potential theoretic inequality. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 55-65
• Morimoto, H.; Fujita, H.: A remark on the existence of steady Navier-Stokes flows in 2D semi-infinite channel involving the general outflow condition. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 457-468
• Daněček, Josef; Viszus, Eugen: A note on regularity for nonlinear elliptic systems. (English). Archivum Mathematicum, vol. 36 (2000), issue 3, pp. 229-237
• Carozza, Menita; Passarelli di Napoli, Antonia: On very weak solutions of a class of nonlinear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 3, pp. 493-508
• Ragusa, Maria Alessandra: Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 4, pp. 651-663
• Bochniak, M.; Sändig, A.-M.: Local solvability and regularity results for a class of semilinear elliptic problems in nonsmooth domains. (English). Mathematica Bohemica, vol. 124 (1999), issue 2, pp. 245-254
• Lieberman, Gary M.: Nonuniqueness for some linear oblique derivative problems for elliptic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 3, pp. 477-481
• Naumann, J.; Wolf, J.; Wolff, M.: On the Hölder continuity of weak solutions to nonlinear parabolic systems in two space dimensions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 2, pp. 237-255
• Maz'ya, Vladimir: On Wiener's type regularity of a boundary point for higher order elliptic equations. (English). In: Krbec, Miroslav and Kufner, Alois (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Prague, May 31-June 6, 1998. Vol. 6. Czech Academy of Sciences, Mathematical Institute, Praha, 1999. pp. 119-155
• Lemoine, Jérôme: On non-homogeneous viscous incompressible fluids. Existence of regular solutions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 4, pp. 697-715
• Daněček, Josef; Viszus, Eugen: A note on regular points for solutions of nonlinear elliptic systems. (English). Archivum Mathematicum, vol. 32 (1996), issue 2, pp. 105-116
• Daněček, Josef: On $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 523-536
• Jarušek, Jiří: Regularity and optimal control of quasicoupled and coupled heating processes. (English). Applications of Mathematics, vol. 41 (1996), issue 2, pp. 81-106
• Hao, Wenge; Leonardi, Salvatore; Steinhauer, Mark: Examples of discontinuous, divergence-free solutions to elliptic variational problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 3, pp. 511-517
• Kawashima, Shuichi; Shibata, Yoshihiro: On the Neumann problem of one-dimensional nonlinear thermoelasticity with time-independent external forces. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 1, pp. 39-67
• Stará, Jana; John, Oldřich: Some (new) counterexamples of parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 3, pp. 503-510
• Ježková, Jana: Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 1, pp. 63-80
• Chiarenza, Filippo: $L^p$-regularity for systems of PDE's, with coefficients in VMO. (English). In: Krbec, Miroslav, Kufner, Alois, Opic, Bohumír and Rákosník, Jiří (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Prague, May 23-28, 1994. Vol. 5. Prometheus Publishing House, Praha, 1994. pp. 1-32
• Kalita, E.: On the Hölder continuity of solutions of nonlinear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 675-680
• Ivanov, Alexander V.: Regularity for doubly nonlinear parabolic equations. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 117-124
• Balanda, Lubomír; Viszus, Eugen: On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order. (English). Mathematica Bohemica, vol. 117 (1992), issue 4, pp. 373-392
• Jarušek, Jiří: On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. III. (English). Applications of Mathematics, vol. 37 (1992), issue 4, pp. 275-288
• Jarušek, Jiří: On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. II. (English). Applications of Mathematics, vol. 36 (1991), issue 3, pp. 161-180
• Bensoussan, Alain; Frehse, Jens: $C^\alpha$-regularity results for quasilinear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 3, pp. 453-474
• Viszus, Eugen: On the regularity up to the boundary for higher order quasilinear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 2, pp. 295-306
• Feireisl, Eduard: Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 184-191
• Koshelev, A. I.; Chelkak, S. I.; Chistyakov, V. M.: On regularity of solutions to some problems of mathematical physics. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 180-182
• Nekvinda, Aleš; Pick, Luboš: A note on the Dirichlet problem for the elliptic linear operator in Sobolev spaces with weight $d^\epsilon_M$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 1, pp. 63-71
• Kottas, Jiří: Interior regularity for the quasilinear elliptic systems with nonsmooth coefficients. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 1, pp. 95-102
• Stará, Jana; Daněček, Josef; John, Oldřich: Liouville type condition and the interior regularity of quasilinear parabolic system (the case of BMO-solutions). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 1, pp. 103-109
• Stará, Jana; John, Oldřich; Malý, Jan: Counterexample to the regularity of weak solution of the quasilinear parabolic system. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 1, pp. 123-136
• Daněček, Josef: Regularity for nonlinear elliptic systems of second order. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 4, pp. 755-764
• Kačur, Jozef: Smoothing effect and regularity for linear parabolic equations. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 4, pp. 564-585
• Biroli, Marco: Nonlinear parabolic variational inequalities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 23-39
• Amann, Herbert: Semilinear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 3-21
• Stará, Jana; John, Oldřich: Some regularity results for quasilinear parabolic systems. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [247]-250
• Struwe, Michael: A counterexample in regularity theory for parabolic systems. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 2, pp. 183-188
• John, Oldřich; Stará, Jana: On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 3, pp. 445-457
• Souček, Jiří: Singular solutions to linear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 2, pp. 273-281
• Neustupa, Jiří: The dimension of a set of singularities of weak solutions to the Navier-Stokes equations. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 276-279
• John, Oldřich; Nečas, Jindřich: On the regularity for 2nd order nonlinear elliptic systems. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 165-168
• Nečas, Jindřich; John, Oldřich; Stará, Jana: Counterexample to the regularity of weak solution of elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 1, pp. 145-154
• Giaquinta, Mariano; Nečas, Jindřich: On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 1, pp. 111-121