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35R30 Inverse problems (undetermined coefficients, etc.) for PDE (35 articles)

• Balandin, Alexander Leonidovich: Erratum to Fourier diffraction theorem for the tensor fields. (English). Applications of Mathematics, vol. 69 (2024), issue 2, pp. 287-287
• Abid, Soufiane; Atifi, Khalid; Essoufi, El-Hassan; Zafrar, Abderrahim: Identification of source term in a nonlinear degenerate parabolic equation with memory. (English). Applications of Mathematics, vol. 69 (2024), issue 2, pp. 209-232
• Balandin, Alexander Leonidovich: Fourier diffraction theorem for the tensor fields. (English). Applications of Mathematics, vol. 68 (2023), issue 5, pp. 559-570
• Jo, Yong-Hyok; Ri, Myong-Hwan: Application of Rothe's method to a parabolic inverse problem with nonlocal boundary condition. (English). Applications of Mathematics, vol. 67 (2022), issue 5, pp. 573-592
• Harris, Isaac: The direct and inverse problem for sub-diffusion equations with a generalized impedance subregion. (English). Applications of Mathematics, vol. 67 (2022), issue 1, pp. 1-20
• Bérešová, Simona: Numerical realization of the Bayesian inversion accelerated using surrogate models. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 25-36
• Jana, Ajoy; Nair, M. Thamban: Truncated spectral regularization for an ill-posed non-linear parabolic problem. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 2, pp. 545-569
• Feki, Imed; Massoudi, Ameni; Nfata, Houda: A generalization to the Hardy-Sobolev spaces $H^{k,p}$ of an $L^p$-$L^1$ logarithmic type estimate. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 2, pp. 387-414
• Gao, Peng; Dong, Heping; Ma, Fuming: Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data. (English). Applications of Mathematics, vol. 63 (2018), issue 2, pp. 149-165
• Bayer, Tomáš; Kočandrlová, Milada: Reconstruction of map projection, its inverse and re-projection. (English). Applications of Mathematics, vol. 63 (2018), issue 4, pp. 455-481
• Protsakh, Nataliya: Inverse problem for semilinear ultraparabolic equation of higher order. (English). Mathematica Bohemica, vol. 140 (2015), issue 4, pp. 395-404
• Kaya, Müjdat: Determination of the unknown source term in a linear parabolic problem from the measured data at the final time. (English). Applications of Mathematics, vol. 59 (2014), issue 6, pp. 715-728
• 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
• Papáček, Štěpán; Jablonský, Jiří; Matonoha, Ctirad: On two methods for the parameter estimation problem with spatio-temporal FRAP data. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 163-168
• Feki, Imed: Estimates in the Hardy-Sobolev space of the annulus and stability result. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 2, pp. 481-495
• 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
• Awawdeh, Fadi; Obiedat, Hamed M.: Identification problems for degenerate parabolic equations. (English). Applications of Mathematics, vol. 58 (2013), issue 4, pp. 389-404
• Vala, Jiří: On the computational identification of temperature-variable characteristics of heat transfer. (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. 215-224
• Azari, Hossein; Liu, Tang; Zhang, Shuhua: Identification of parameters in parabolic inverse problems. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 1-13
• Azari, Hossein; Parzlivand, F.; Zhang, Shuhua: A mesh free numerical method for the solution of an inverse heat problem. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 14-30
• Azari, Hossein; Zhang, Shuhua: Global superconvergence of finite element methods for parabolic inverse problems. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 285-294
• Chleboun, Jan: An application of the averaged gradient technique. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 65-70
• Constales, D.; Kačur, J.: On the solution of inverse problems for generalized oxygen consumption. (English). Applications of Mathematics, vol. 46 (2001), issue 2, pp. 145-155
• Constales, D.; Kačur, J.: On the solution of some inverse problems in infiltration. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 307-322
• Kärkkäinen, Tommi: Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method. (English). Applications of Mathematics, vol. 42 (1997), issue 4, pp. 259-277
• Hlaváček, Ivan: Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function. (English). Applications of Mathematics, vol. 41 (1996), issue 6, pp. 447-466
• Scherzer, Otmar: A parameter choice for Tikhonov regularization for solving nonlinear inverse problems leading to optimal convergence rates. (English). Applications of Mathematics, vol. 38 (1993), issue 6, pp. 479-487
• Roach, Gary F.: Aspects of nonlinear scattering theory. (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 Roudnice nad Labem, 1990. Vol. 4. B. G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 149-179
• Hlavatý, Ladislav: Solitonová řešení a metoda obráceného rozptylu. (Czech) [Soliton solution and the method of inverse scattering]. Pokroky matematiky, fyziky a astronomie, vol. 34 (1989), issue 4, pp. 233-243
• Doppel, K.: On the floating body problem. (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. 151-154
• Andersson, Stig I.; Högfors, Christian; Pettersson, Bo: Microlocal heat kernel asymptotics and inverse spectral problems. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1989. pp. [93]-114
• Horová, Ivana: On the variational principles for partial differential equations. (English). Archivum Mathematicum, vol. 24 (1988), issue 1, pp. 17-23
• Bolek, P.; Fořt, Jaroslav; Kozel, Karel; Polášek, Jan: Mathematical solution of direct and inverse problem for transonic cascade flows. (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. [361]-366
• Neumann, Jan: Numerical identification of a coefficient in a parabolic quasilinear equation. (English). Aplikace matematiky, vol. 30 (1985), issue 2, pp. 110-125
• Dümmel, S.: On some inverse problems for partial differential equations. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [93]-98