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35K15 Initial value problems for second-order, parabolic equations (32 articles)

• Carini, Laura; Jensen, Max; Nürnberg, Robert: Deep learning for gradient flows using the Brezis–Ekeland principle. (English). Archivum Mathematicum, vol. 59 (2023), issue 3, pp. 249-261
• Deckelnick, Klaus; Nürnberg, Robert: An unconditionally stable finite element scheme for anisotropic curve shortening flow. (English). Archivum Mathematicum, vol. 59 (2023), issue 3, pp. 263-274
• Bradji, Abdallah; Fuhrmann, Jürgen: A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 113-124
• Nguyen Huy, Tuan: On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient. (English). Applications of Mathematics, vol. 59 (2014), issue 4, pp. 453-472
• Hrabě, Jan: Fast optical tracking of diffusion in time-dependent environment of brain extracellular space. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 117-123
• Bradji, Abdallah; Fuhrmann, Jürgen: Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes. (English). Applications of Mathematics, vol. 58 (2013), issue 1, pp. 1-38
• Druet, Pierre-Etienne: Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and arbitrary $p$-summable right-hand side. (English). Applications of Mathematics, vol. 55 (2010), issue 2, pp. 111-149
• Zhan, Huashui: Large time behavior of solutions to a class of doubly nonlinear parabolic equations. (English). Applications of Mathematics, vol. 53 (2008), issue 6, pp. 521-533
• Imai, Hitoshi; Ishimura, Naoyuki; Sakaguchi, Hideo: Computational technique for treating the nonlinear Black-Scholes equation with the effect of transaction costs. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 807-815
• Feistauer, Miloslav; Hájek, Jaroslav; Švadlenka, Karel: Space-time discontinuos Galerkin method for solving nonstationary convection-diffusion-reaction problems. (English). Applications of Mathematics, vol. 52 (2007), issue 3, pp. 197-233
• Giga, Y.; Umeda, N.: On blow-up at space infinity for semilinear heat equations. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 63-67
• Souplet, Ph.: A remark on the large time behavior of solutions of viscous Hamilton-Jacobi equations. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 11-13
• Engländer, J.; Pinsky, R. G.: Uniqueness/nonuniqueness for nonnegative solutions of a class of second-order parabolic equations. (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. 67-76
• Cholewa, Jan W.; Dlotko, Tomasz: Cauchy problems in weighted Lebesgue spaces. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 4, pp. 991-1013
• Vala, Jiří: On a system of equations of evolution with a non-symmetrical parabolic part occuring in the analysis of moisture and heat transfer in porous media. (English). Applications of Mathematics, vol. 47 (2002), issue 2, pp. 187-214
• Yakubov, Yakov: Irregular boundary value problems for ordinary differential equations. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 437-441
• Karch, Grzegorz: Scaling in nonlinear parabolic equations: locality versus globality. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 137-138
• Ranošová, Jarmila: Characterization of sets of determination for parabolic functions on a slab by coparabolic (minimal) thinness. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 4, pp. 707-723
• Dalík, Josef; Růžičková, Helena: An explicit modified method of characteristics for the one-dimensional nonstationary convection-diffusion problem with dominating convection. (English). Applications of Mathematics, vol. 40 (1995), issue 5, pp. 367-380
• Jódar, Lucas; Navarro, Enrique; Ferrer, M. V.: A matrix constructive method for the analytic-numerical solution of coupled partial differential systems. (English). Applications of Mathematics, vol. 40 (1995), issue 5, pp. 391-400
• Kahane, Charles S.: The Feynman-Kac formula for a system of parabolic equations. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 4, pp. 579-602
• Weisz, J.: On a method for a-posteriori error estimation of approximate solutions to parabolic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 735-740
• Segeth, Karel: A posteriori error estimates for parabolic differential systems solved by the finite element method of lines. (English). Applications of Mathematics, vol. 39 (1994), issue 6, pp. 415-443
• Ranošová, Jarmila: Sets of determination for parabolic functions on a half-space. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 497-513
• Segeth, Karel: Grid adjustment based on a posteriori error estimators. (English). Applications of Mathematics, vol. 38 (1993), issue 6, pp. 488-504
• Heinrichs, Wilhelm: Einschliessungsaussagen bei Systemen semilinearer parabolischer Differentialgleichungen. (German) [Inclusion statements for systems of semilinear parabolic differential equations]. Applications of Mathematics, vol. 36 (1991), issue 2, pp. 96-122
• Bebernes, Jerrold W.: A description of blow-up for the solid fuel ignition model. (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. [193]-196
• Fila, Marek: On some properties of solutions of the Cauchy problem for a quasilinear parabolic equation. (English). Časopis pro pěstování matematiky, vol. 109 (1984), issue 3, pp. 268-276
• 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
• Brilla, J.: New functional spaces and linear nonstationary problems of mathematical physics. (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. 64-71
• Rektorys, Karel; Ludvíková, Marie: A note on nonhomogeneous initial and boundary conditions in parabolic problems solved by the Rothe method. (English). Aplikace matematiky, vol. 25 (1980), issue 1, pp. 56-72
• Práger, M.; Taufer, J.; Vitásek, E.: Overimplicit methods for the solution of evolution problems. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 125-133