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35K65 Parabolic partial differential equations of degenerate type (47 articles)

• Tanaka, Yuya: Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source. (English). Archivum Mathematicum, vol. 59 (2023), issue 2, pp. 223-230
• Mecheter, Rabah; Mokhtari, Fares: Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms. (English). Mathematica Bohemica, vol. 148 (2023), issue 4, pp. 561-581
• Laurençot, Philippe; Matioc, Bogdan-Vasile: Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems. (English). Archivum Mathematicum, vol. 59 (2023), issue 2, pp. 201-213
• Boughammoura, Ahmed; Braham, Yousra: Homogenization of a three-phase composites of double-porosity type. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 1, pp. 45-73
• Tomoeda, Kenji: Behaviour of the support of the solution appearing in some nonlinear diffusion equation with absorption. (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. 359-368
• Watanabe, Hiroshi: Continuous dependence for BV-entropy solutions to strongly degenerate parabolic equations with variable coefficients. (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. 315-324
• Shangerganesh, Lingeshwaran; Gurusamy, Arumugam; Balachandran, Krishnan: Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents. (English). Communications in Mathematics, vol. 25 (2017), issue 1, pp. 55-70
• Zhu, Peicheng: Viscosity solutions to a new phase-field model for martensitic phase transformations. (English). In: Brandts, J., Korotov, S., Křížek, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Application of Mathematics 2015, In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Proceedings. Prague, November 18-21, 2015. Institute of Mathematics CAS, Prague, 2015. pp. 256-263
• Kolář, Miroslav; Beneš, Michal; Ševčovič, Daniel: Computational studies of conserved mean-curvature flow. (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 677-684
• Heinemann, Christian; Kraus, Christiane: Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 315-331
• Hoang, Dieu Hung; Beneš, Michal: Forced anisotropic mean curvature flow of graphs in relative geometry. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 429-436
• Awawdeh, Fadi; Obiedat, Hamed M.: Identification problems for degenerate parabolic equations. (English). Applications of Mathematics, vol. 58 (2013), issue 4, pp. 389-404
• Handlovičová, Angela; Kotorová, Dana: Numerical analysis of a semi-implicit DDFV scheme for the regularized curvature driven level set equation in 2D. (English). Kybernetika, vol. 49 (2013), issue 6, pp. 829-854
• Pan, Jiaqing: On an over-determined problem of free boundary of a degenerate parabolic equation. (English). Applications of Mathematics, vol. 58 (2013), issue 6, pp. 657-671
• Matas, Aleš; Merker, Jochen: Existence of weak solutions to doubly degenerate diffusion equations. (English). Applications of Mathematics, vol. 57 (2012), issue 1, pp. 43-69
• Beneš, Michal; Yazaki, Shigetoshi; Kimura, Masato: Computational studies of non-local anisotropic Allen-Cahn equation. (English). Mathematica Bohemica, vol. 136 (2011), issue 4, pp. 429-437
• Hou, Pulun; Chen, Caisheng: $L^\infty$ estimates of solution for $m$-Laplacian parabolic equation with a nonlocal term. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 2, pp. 389-400
• Chen, Yujuan: Global and non-global existence of solutions to a nonlocal and degenerate quasilinear parabolic system. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 3, pp. 675-688
• Murakawa, Hideki: A solution of nonlinear diffusion problems by semilinear reaction-diffusion systems. (English). Kybernetika, vol. 45 (2009), issue 4, pp. 580-590
• 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
• Minárik, Vojtěch; Kratochvíl, Jan: Dislocation dynamics - analytical description of the interaction force between dipolar loops. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 841-854
• El Ouardi, Hamid: On the finite dimension of attractors of doubly nonlinear parabolic systems with l-trajectories. (English). Archivum Mathematicum, vol. 43 (2007), issue 4, pp. 289-303
• Yazaki, Shigetoshi: On the tangential velocity arising in a crystalline approximation of evolving plane curves. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 913-918
• Eymard, R.; Gallouët, T.; Herbin, R.: Finite volume schemes for nonlinear parabolic problems: another regularization method. (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. 3-9
• Gallouët, T.: Hyperbolic equations and systems with discontinuous coefficients or source terms. (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. 105-114
• Tomoeda, Kenji: Support re-splitting phenomena caused by an interaction between diffusion and absorption. (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. 499-506
• Bonafede, Salvatore; Nicolosi, Francesco: On some properties of solutions of quasilinear degenerate parabolic equations in $\mathbb R^m \times (0, + \infty )$. (English). Mathematica Bohemica, vol. 129 (2004), issue 2, pp. 113-123
• Saddi, Adel: Holomorphic subordinated semigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 457-466
• Becker, Jürgen; Grün, Günther; Lenz, Martin; Rumpf, Martin: Numerical methods for fourth order nonlinear degenerate diffusion problems. (English). Applications of Mathematics, vol. 47 (2002), issue 6, pp. 517-543
• Quittner, Pavol: A priori estimates of solutions of superlinear problems. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 483-492
• Chalupecký, Vladimír; Beneš, Michal: Some applications of parabolic differential equations of Allen-Cahn type in image processing. (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. 83-101
• Bonafede, Salvatore; Nicolosi, Francesco: A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients. (English). Mathematica Bohemica, vol. 125 (2000), issue 1, pp. 39-54
• Feireisl, Eduard; Petzeltová, Hana: On the domain dependence of solutions to the two-phase Stefan problem. (English). Applications of Mathematics, vol. 45 (2000), issue 2, pp. 131-144
• Pluschke, Volker; Weber, Frank: The local solution of a parabolic-elliptic equation with a nonlinear Neumann boundary condition. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 1, pp. 13-38
• Liang, Xiting,; Zaide, Wu: The a priori estimate of the maximum modulus to solutions of doubly nonlinear parabolic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 1, pp. 109-119
• Di Benedetto, Emmanuele: Parabolic equations with multiple singularities. (English). In: Agarwal, Ravi P., Neuman, F. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 1] Survey papers. Masaryk University, Brno, 1998. pp. 25-48
• Pluschke, Volker: Rothe's method for degenerate quasilinear parabolic equations. (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. 247-254
• Bensoussan, A.; Frehse, J.: Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and $H^{1}$ regularity. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 285-304
• Bonafede, Salvatore: On maximum principle for weak subsolutions of degenerate parabolic linear equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 3, pp. 417-430
• 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
• Struwe, Michael: The Yang-Mills gradient flow in four dimensions. (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. 213-216
• Zeman, Juraj: On existence of the weak solution for nonlinear diffusion equation. (English). Applications of Mathematics, vol. 36 (1991), issue 1, pp. 9-20
• Fila, M.; Filo, J.: Blow up for a nonlinear degenerate parabolic equation. (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. 163-166
• Fila, Marek; Filo, Ján: Blow up above stationary solutions of certain nonlinear parabolic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 1, pp. 179-193
• Filo, Ján: On solutions of a perturbed fast diffusion equation. (English). Aplikace matematiky, vol. 32 (1987), issue 5, pp. 364-380
• Fila, Marek; Filo, Ján: Stabilization of solutions of certain one-dimensional degenerate diffusion equations. (English). Mathematica Slovaca, vol. 37 (1987), issue 2, pp. 217-229
• Kačur, Jozef: On a degenerate parabolic boundary value problem. (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. 169-173