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Author ID: fila.marek Recent zbMATH articles by "Fila, Marek"
Published as: Fila, Marek; Fila, M.
Homepage: http://www.iam.fmph.uniba.sk/institute/fila/
External Links: MGP
Documents Indexed: 109 Publications since 1984
Reviewing Activity: 233 Reviews
Co-Authors: 39 Co-Authors with 98 Joint Publications
1,253 Co-Co-Authors
all top 5

Serials

5 Journal of Mathematical Analysis and Applications
5 Advances in Differential Equations
4 Mathematical Methods in the Applied Sciences
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Differential and Integral Equations
4 Discrete and Continuous Dynamical Systems
3 Journal of Differential Equations
3 Mathematische Annalen
3 Proceedings of the American Mathematical Society
3 Asymptotic Analysis
3 Acta Mathematica Universitatis Comenianae. New Series
3 Journal of Dynamics and Differential Equations
3 Communications on Pure and Applied Analysis
2 Commentationes Mathematicae Universitatis Carolinae
2 Journal of the London Mathematical Society. Second Series
2 Mathematica Slovaca
2 Tôhoku Mathematical Journal. Second Series
2 Acta Mathematica Universitatis Comenianae
2 Applied Mathematics Letters
2 Advances in Mathematical Sciences and Applications
2 Calculus of Variations and Partial Differential Equations
2 NoDEA. Nonlinear Differential Equations and Applications
2 Nonlinear Analysis. Theory, Methods & Applications
2 Journal of Elliptic and Parabolic Equations
1 Archive for Rational Mechanics and Analysis
1 Israel Journal of Mathematics
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Advances in Mathematics
1 Časopis Pro Pěstování Matematiky
1 Czechoslovak Mathematical Journal
1 Mathematische Zeitschrift
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quarterly of Applied Mathematics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Journal of Mathematical Sciences. University of Tokyo
1 Revista Matemática Complutense
1 Interfaces and Free Boundaries
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Nonlinear Boundary Value Problems
1 Journal of Evolution Equations
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Networks and Heterogeneous Media
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Nonlinear Analysis

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 1,175 times in 662 Documents Cited by Year
Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions. Zbl 0743.35038
Chipot, M.; Fila, M.; Quittner, P.
57
1991
The blow-up rate for the heat equation with a nonlinear boundary condition. Zbl 0735.35014
Fila, Marek; Quittner, Pavol
46
1991
Existence of positive solutions of a semilinear elliptic equation in \(\mathbb{R}_+^n\) with a nonlinear boundary condition. Zbl 0932.35086
Chipot, M.; Chlebík, M.; Fila, M.; Shafrir, I.
42
1998
On the solutions to some elliptic equations with nonlinear Neumann boundary conditions. Zbl 0839.35042
Chipot, M.; Shafrir, I.; Fila, M.
41
1996
From critical exponents to blow-up rates for parabolic problems. Zbl 0980.35057
Chlebík, M.; Fila, M.
40
1999
On critical exponents for a system of heat equations coupled in the boundary conditions. Zbl 0824.35048
Deng, K.; Fila, M.; Levine, H. A.
39
1994
Boundedness of global solutions of nonlinear diffusion equations. Zbl 0764.35010
Fila, Marek
31
1992
Derivative blow-up and beyond for quasilinear parabolic equations. Zbl 0811.35059
Fila, Marek; Lieberman, Gary M.
30
1994
Quenching on the boundary. Zbl 0809.35043
Fila, Marek; Levine, Howard A.
29
1993
The blow-up rate for a semilinear parabolic system. Zbl 0934.35062
Fila, Marek; Quittner, Pavol
28
1999
Linear and nonlinear heat equations in \(L^q_\delta\) spaces and universal bounds for global solutions. Zbl 0993.35023
Fila, Marek; Souplet, Philippe; Weissler, Fred B.
28
2001
Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem. Zbl 1006.35103
Fila, Marek; Souplet, Philippe
27
2001
Blow-up on the boundary: A survey. Zbl 0858.35065
Fila, Marek; Filo, Ján
26
1996
Remarks on blow up for a nonlinear parabolic equation with a gradient term. Zbl 0768.35047
Fila, Marek
26
1991
A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Zbl 0922.35053
Amann, H.; Fila, M.
24
1997
The blow-up rate for semilinear parabolic problems on general domains. Zbl 0993.35046
Fila, Marek; Souplet, Philippe
24
2001
Convergence rate for a parabolic equation with supercritical nonlinearity. Zbl 1087.35049
Fila, Marek; Winkler, Michael; Yanagida, Eiji
20
2005
A note on the quenching rate. Zbl 0727.35007
Fila, Marek; Hulshof, Josephus
19
1991
Boundedness of global solutions for the heat equation with nonlinear boundary conditions. Zbl 0702.35141
Fila, Marek
19
1989
Grow up rate of solutions for a supercritical semilinear diffusion equation. Zbl 1072.35042
Fila, Marek; Winkler, Michael; Yanagida, Eiji
18
2004
On critical exponents for a semilinear parabolic system coupled in an equation and a boundary condition. Zbl 0870.35049
Fila, Marek; Levine, Howard A.
18
1996
Optimal lower bound of the grow-up rate for a supercritical parabolic equation. Zbl 1102.35017
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
18
2006
Blow-up of positive solutions of a semilinear parabolic equation with a gradient term. Zbl 1028.35071
Chlebík, Miroslav; Fila, Marek; Quittner, Pavol
17
2003
Interior gradient blow-up in a semilinear parabolic equation. Zbl 0864.35052
Angenent, Sigurd B.; Fila, Marek
17
1996
Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition. Zbl 1279.47092
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
17
2012
Rate of convergence to Barenblatt profiles for the fast diffusion equation. Zbl 1315.76032
Fila, Marek; Vázquez, Juan Luis; Winkler, Michael; Yanagida, Eiji
17
2012
Immediate regularization after blow-up. Zbl 1102.35053
Fila, Marek; Matano, Hiroshi; Polácik, Peter
16
2005
Global solutions of the Laplace equation with a nonlinear dynamical boundary condition. Zbl 0880.35056
Fila, Marek; Quittner, Pavol
14
1997
On the blow-up rate for the heat equation with a nonlinear boundary condition. Zbl 0980.35073
Chlebík, Miroslav; Fila, Marek
14
2000
Blow-up in nonlinear heat equations from the dynamical systems point of view. Zbl 1004.35060
Fila, Marek; Matano, Hiroshi
14
2002
Large time behavior of solutions of a semilinear parabolic equation with a nonlinear dynamical boundary condition. Zbl 0935.35072
Fila, Marek; Quittner, Pavol
14
1999
Quenching for quasilinear equations. Zbl 0801.35057
Fila, Marek; Kawohl, Bernhard; Levine, Howard A.
14
1992
Asymptotic analysis of quenching problems. Zbl 0798.35079
Fila, Marek; Kawohl, Bernhard
13
1992
Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition. Zbl 0994.35066
Fila, Marek; Guo, Jong-Shenq
13
2002
Reaction versus diffusion: Blow-up induced and inhibited by diffusivity. Zbl 1171.35411
Fila, M.; Ninomiya, H.
12
2005
Some recent results on blow-up on the boundary for the heat equation. Zbl 0969.35080
Chlebík, Miroslav; Fila, Marek
12
2000
Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057
Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq
12
2008
Stabilization of solutions of weakly singular quenching problems. Zbl 0785.35054
Fila, Marek; Levine, Howard A.; Vazquez, Juan L.
12
1993
Large time behavior of solutions to a quasilinear parabolic equation with a nonlinear boundary condition. Zbl 1194.35055
Fila, Marek; Kawohl, Bernd
11
2001
The quenching problem on the \(N\)-dimensional ball. Zbl 0792.35097
Fila, Marek; Hulshof, Josephus; Quittner, Pavol
11
1992
Multiple continuation beyond blow-up. Zbl 1212.35231
Fila, Marek; Mizoguchi, Noriko
10
2007
Blow-up of solutions of supercritical parabolic equations. Zbl 1093.35042
Fila, Marek
9
2005
Convergence to a singular steady state of a parabolic equation with gradient blow-up. Zbl 1125.35367
Fila, Marek; Taskinen, Jari; Winkler, Michael
9
2007
Slow convergence to zero for a parabolic equation with a supercritical nonlinearity. Zbl 1263.35138
Fila, Marek; Winkler, Michael; Yanagida, Eiji
9
2008
A continuum of extinction rates for the fast diffusion equation. Zbl 1229.35124
Fila, Marek; Vázquez, Juan-Luis; Winkler, Michael
9
2011
Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems. Zbl 1120.35048
Fila, Marek; Ninomiya, Hirokazu; Vázquez, Juan Luis
9
2006
Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition. Zbl 1281.35051
Fila, M.; Ishige, K.; Kawakami, T.
9
2013
A Fujita-type global existence – global non-existence theorem for a system of reaction diffusion equations with differing diffusivities. Zbl 0814.35046
Fila, Marek; Levine, Howard A.; Uda, Yoshitaka
9
1994
Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition. Zbl 1329.35156
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
8
2015
Optimal rates of convergence to the singular Barenblatt profile for the fast diffusion equation. Zbl 1349.35168
Fila, Marek; Winkler, Michael
8
2016
Global nonexistence without blow-up for an evolution problem. Zbl 0938.35030
Fila, Marek; Poláčik, Peter
8
1999
Blow-up on the boundary for the heat equation. Zbl 0939.35098
Fila, Marek; Filo, Ján; Lieberman, Gary M.
8
2000
Is quenching in infinite time possible? Zbl 0737.35005
Fila, Marek; Kawohl, Bernhard
8
1990
Homoclinic and heteroclinic orbits for a semilinear parabolic equation. Zbl 1252.35157
Fila, Marek; Yanagida, Eiji
8
2011
Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent. Zbl 1295.35085
Fila, M.; King, J. R.; Winkler, M.
7
2014
Convergence to self-similar solutions for a semilinear parabolic equation. Zbl 1155.35005
Fila, Marek; Winkler, Michael; Yanagida, Eiji
7
2008
Rate of convergence to a singular steady state of a supercritical parabolic equation. Zbl 1175.35071
Fila, Marek; Winkler, Michael
7
2008
Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation. Zbl 1158.35056
Fila, Marek; Pulkkinen, Aappo
7
2008
Global solutions of a semilinear parabolic equation. Zbl 0953.35065
Fila, Marek; Poláčik, Peter
6
1999
Large-time behavior of small solutions of a two-dimensional semilinear elliptic equation with a dynamical boundary condition. Zbl 1280.35051
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
6
2013
On the boundedness of global solutions of abstract semilinear parabolic equations. Zbl 0892.35069
Fila, Marek; Levine, Howard A.
6
1997
Rate of convergence to separable solutions of the fast diffusion equation. Zbl 1348.35120
Fila, Marek; Winkler, Michael
6
2016
Linear behaviour of solutions of a superlinear heat equation. Zbl 1263.35137
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
6
2008
Radial positive solutions for a semilinear elliptic equation with a gradient term. Zbl 0803.35035
Fila, M.; Quittner, P.
6
1993
Grow up and slow decay in the critical Sobolev case. Zbl 1262.35032
Fila, Marek; King, John R.
6
2012
Slow growth of solutions of superfast diffusion equations with unbounded initial data. Zbl 1386.35178
Fila, Marek; Winkler, Michael
6
2017
Existence of \(L^1\)-connections between equilibria of a semilinear parabolic equation. Zbl 1001.35054
Fila, Marek; Matano, Hiroshi; Poláčik, Peter
5
2002
Boundedness of global solutions of nonlocal parabolic equations. Zbl 0902.35055
Fila, Marek
5
1997
Backward selfsimilar solutions of supercritical parabolic equations. Zbl 1173.35547
Fila, Marek; Pulkkinen, Aappo
5
2009
Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition. Zbl 1344.35055
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
4
2016
Connecting equilibria by blow-up solutions. Zbl 1157.35404
Fila, Marek; Matano, Hiroshi
4
2000
Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition. Zbl 1433.35395
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki; Lankeit, Johannes
4
2019
Grow-up rate of solutions of a semilinear parabolic equation with a critical exponent. Zbl 1170.35456
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
4
2007
Lack of smoothing for bounded solutions of a semilinear parabolic equation. Zbl 1436.35243
Fila, Marek; Lankeit, Johannes
4
2020
An exterior nonlinear elliptic problem with a dynamical boundary condition. Zbl 1377.35111
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
4
2017
Grow-up on the boundary for a semilinear parabolic problem. Zbl 1090.35034
Fila, Marek; Velázquez, Juan J. L.; Winkler, Michael
3
2005
Special asymptotics for a critical fast diffusion equation. Zbl 1284.35239
Fila, Marek; Stuke, Hannes
3
2014
Very slow grow-up of solutions of a semi-linear parabolic equation. Zbl 1221.35064
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
3
2011
A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation. Zbl 1428.26026
Fila, Marek; Winkler, Michael
3
2019
Solutions with moving singularities for equations of porous medium type. Zbl 1404.35270
Fila, Marek; Takahashi, Jin; Yanagida, Eiji
3
2019
Immediate regularization after blow-up. Zbl 1108.35092
Fila, M.; Matano, H.; Poláčik, P.
3
2005
A blow-up result for nonlinear diffusion equations. Zbl 0704.35071
Fila, Marek; Filo, Ján
2
1989
Stabilization of solutions of certain one-dimensional degenerate diffusion equations. Zbl 0619.35064
Fila, Marek; Filo, Ján
2
1987
Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed. Zbl 1190.35038
Fila, Marek; Winkler, Michael
2
2008
Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition. Zbl 1274.35136
Chlebík, Miroslav; Fila, Marek; Reichel, Wolfgang
2
2003
Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation. Zbl 1321.35102
Fila, Marek; Winkler, Michael
2
2015
Non-accessible singular homoclinic orbits for a semilinear parabolic equation. Zbl 1340.35179
Fila, Marek; Yanagida, Eiji
2
2014
Convergence of solutions of a semilinear parabolic equation to selfsimilar solutions of the linear heat equation. Zbl 1178.35068
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2
2008
The transition from decay to blow-up in some reaction-diffusion-convection equations. Zbl 0849.35057
Fila, Marek; Sacks, Paul
2
1996
Blow up for a nonlinear degenerate parabolic equation. Zbl 0729.35017
Fila, M.; Filo, J.
1
1990
Boundedness of global solutions of nonlinear parabolic equations. Zbl 1046.35009
Fila, Marek
1
2002
Continuation beyond interior gradient blow-up in a semilinear parabolic equation. Zbl 1448.35309
Fila, Marek; Lankeit, Johannes
1
2020
The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition. Zbl 1446.35046
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki; Lankeit, Johannes
1
2020
The large diffusion limit for the heat equation with a dynamical boundary condition. Zbl 1450.35031
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
1
2021
The large diffusion limit for the heat equation with a dynamical boundary condition. Zbl 1450.35031
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
1
2021
Lack of smoothing for bounded solutions of a semilinear parabolic equation. Zbl 1436.35243
Fila, Marek; Lankeit, Johannes
4
2020
Continuation beyond interior gradient blow-up in a semilinear parabolic equation. Zbl 1448.35309
Fila, Marek; Lankeit, Johannes
1
2020
The large diffusion limit for the heat equation in the exterior of the unit ball with a dynamical boundary condition. Zbl 1446.35046
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki; Lankeit, Johannes
1
2020
Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition. Zbl 1433.35395
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki; Lankeit, Johannes
4
2019
A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation. Zbl 1428.26026
Fila, Marek; Winkler, Michael
3
2019
Solutions with moving singularities for equations of porous medium type. Zbl 1404.35270
Fila, Marek; Takahashi, Jin; Yanagida, Eiji
3
2019
Slow growth of solutions of superfast diffusion equations with unbounded initial data. Zbl 1386.35178
Fila, Marek; Winkler, Michael
6
2017
An exterior nonlinear elliptic problem with a dynamical boundary condition. Zbl 1377.35111
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
4
2017
Optimal rates of convergence to the singular Barenblatt profile for the fast diffusion equation. Zbl 1349.35168
Fila, Marek; Winkler, Michael
8
2016
Rate of convergence to separable solutions of the fast diffusion equation. Zbl 1348.35120
Fila, Marek; Winkler, Michael
6
2016
Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition. Zbl 1344.35055
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
4
2016
Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition. Zbl 1329.35156
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
8
2015
Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation. Zbl 1321.35102
Fila, Marek; Winkler, Michael
2
2015
Rate of convergence to Barenblatt profiles for the fast diffusion equation with a critical exponent. Zbl 1295.35085
Fila, M.; King, J. R.; Winkler, M.
7
2014
Special asymptotics for a critical fast diffusion equation. Zbl 1284.35239
Fila, Marek; Stuke, Hannes
3
2014
Non-accessible singular homoclinic orbits for a semilinear parabolic equation. Zbl 1340.35179
Fila, Marek; Yanagida, Eiji
2
2014
Large time behavior of solutions of a semilinear elliptic equation with a dynamical boundary condition. Zbl 1281.35051
Fila, M.; Ishige, K.; Kawakami, T.
9
2013
Large-time behavior of small solutions of a two-dimensional semilinear elliptic equation with a dynamical boundary condition. Zbl 1280.35051
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
6
2013
Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition. Zbl 1279.47092
Fila, Marek; Ishige, Kazuhiro; Kawakami, Tatsuki
17
2012
Rate of convergence to Barenblatt profiles for the fast diffusion equation. Zbl 1315.76032
Fila, Marek; Vázquez, Juan Luis; Winkler, Michael; Yanagida, Eiji
17
2012
Grow up and slow decay in the critical Sobolev case. Zbl 1262.35032
Fila, Marek; King, John R.
6
2012
A continuum of extinction rates for the fast diffusion equation. Zbl 1229.35124
Fila, Marek; Vázquez, Juan-Luis; Winkler, Michael
9
2011
Homoclinic and heteroclinic orbits for a semilinear parabolic equation. Zbl 1252.35157
Fila, Marek; Yanagida, Eiji
8
2011
Very slow grow-up of solutions of a semi-linear parabolic equation. Zbl 1221.35064
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
3
2011
Backward selfsimilar solutions of supercritical parabolic equations. Zbl 1173.35547
Fila, Marek; Pulkkinen, Aappo
5
2009
Boundedness of global solutions of a supercritical parabolic equation. Zbl 1128.35057
Chen, Xinfu; Fila, Marek; Guo, Jong-Shenq
12
2008
Slow convergence to zero for a parabolic equation with a supercritical nonlinearity. Zbl 1263.35138
Fila, Marek; Winkler, Michael; Yanagida, Eiji
9
2008
Convergence to self-similar solutions for a semilinear parabolic equation. Zbl 1155.35005
Fila, Marek; Winkler, Michael; Yanagida, Eiji
7
2008
Rate of convergence to a singular steady state of a supercritical parabolic equation. Zbl 1175.35071
Fila, Marek; Winkler, Michael
7
2008
Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation. Zbl 1158.35056
Fila, Marek; Pulkkinen, Aappo
7
2008
Linear behaviour of solutions of a superlinear heat equation. Zbl 1263.35137
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
6
2008
Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed. Zbl 1190.35038
Fila, Marek; Winkler, Michael
2
2008
Convergence of solutions of a semilinear parabolic equation to selfsimilar solutions of the linear heat equation. Zbl 1178.35068
Fila, Marek; Winkler, Michael; Yanagida, Eiji
2
2008
Multiple continuation beyond blow-up. Zbl 1212.35231
Fila, Marek; Mizoguchi, Noriko
10
2007
Convergence to a singular steady state of a parabolic equation with gradient blow-up. Zbl 1125.35367
Fila, Marek; Taskinen, Jari; Winkler, Michael
9
2007
Grow-up rate of solutions of a semilinear parabolic equation with a critical exponent. Zbl 1170.35456
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
4
2007
Optimal lower bound of the grow-up rate for a supercritical parabolic equation. Zbl 1102.35017
Fila, Marek; King, John R.; Winkler, Michael; Yanagida, Eiji
18
2006
Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems. Zbl 1120.35048
Fila, Marek; Ninomiya, Hirokazu; Vázquez, Juan Luis
9
2006
Convergence rate for a parabolic equation with supercritical nonlinearity. Zbl 1087.35049
Fila, Marek; Winkler, Michael; Yanagida, Eiji
20
2005
Immediate regularization after blow-up. Zbl 1102.35053
Fila, Marek; Matano, Hiroshi; Polácik, Peter
16
2005
Reaction versus diffusion: Blow-up induced and inhibited by diffusivity. Zbl 1171.35411
Fila, M.; Ninomiya, H.
12
2005
Blow-up of solutions of supercritical parabolic equations. Zbl 1093.35042
Fila, Marek
9
2005
Grow-up on the boundary for a semilinear parabolic problem. Zbl 1090.35034
Fila, Marek; Velázquez, Juan J. L.; Winkler, Michael
3
2005
Immediate regularization after blow-up. Zbl 1108.35092
Fila, M.; Matano, H.; Poláčik, P.
3
2005
Grow up rate of solutions for a supercritical semilinear diffusion equation. Zbl 1072.35042
Fila, Marek; Winkler, Michael; Yanagida, Eiji
18
2004
Blow-up of positive solutions of a semilinear parabolic equation with a gradient term. Zbl 1028.35071
Chlebík, Miroslav; Fila, Marek; Quittner, Pavol
17
2003
Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition. Zbl 1274.35136
Chlebík, Miroslav; Fila, Marek; Reichel, Wolfgang
2
2003
Blow-up in nonlinear heat equations from the dynamical systems point of view. Zbl 1004.35060
Fila, Marek; Matano, Hiroshi
14
2002
Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition. Zbl 0994.35066
Fila, Marek; Guo, Jong-Shenq
13
2002
Existence of \(L^1\)-connections between equilibria of a semilinear parabolic equation. Zbl 1001.35054
Fila, Marek; Matano, Hiroshi; Poláčik, Peter
5
2002
Boundedness of global solutions of nonlinear parabolic equations. Zbl 1046.35009
Fila, Marek
1
2002
Linear and nonlinear heat equations in \(L^q_\delta\) spaces and universal bounds for global solutions. Zbl 0993.35023
Fila, Marek; Souplet, Philippe; Weissler, Fred B.
28
2001
Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem. Zbl 1006.35103
Fila, Marek; Souplet, Philippe
27
2001
The blow-up rate for semilinear parabolic problems on general domains. Zbl 0993.35046
Fila, Marek; Souplet, Philippe
24
2001
Large time behavior of solutions to a quasilinear parabolic equation with a nonlinear boundary condition. Zbl 1194.35055
Fila, Marek; Kawohl, Bernd
11
2001
On the blow-up rate for the heat equation with a nonlinear boundary condition. Zbl 0980.35073
Chlebík, Miroslav; Fila, Marek
14
2000
Some recent results on blow-up on the boundary for the heat equation. Zbl 0969.35080
Chlebík, Miroslav; Fila, Marek
12
2000
Blow-up on the boundary for the heat equation. Zbl 0939.35098
Fila, Marek; Filo, Ján; Lieberman, Gary M.
8
2000
Connecting equilibria by blow-up solutions. Zbl 1157.35404
Fila, Marek; Matano, Hiroshi
4
2000
From critical exponents to blow-up rates for parabolic problems. Zbl 0980.35057
Chlebík, M.; Fila, M.
40
1999
The blow-up rate for a semilinear parabolic system. Zbl 0934.35062
Fila, Marek; Quittner, Pavol
28
1999
Large time behavior of solutions of a semilinear parabolic equation with a nonlinear dynamical boundary condition. Zbl 0935.35072
Fila, Marek; Quittner, Pavol
14
1999
Global nonexistence without blow-up for an evolution problem. Zbl 0938.35030
Fila, Marek; Poláčik, Peter
8
1999
Global solutions of a semilinear parabolic equation. Zbl 0953.35065
Fila, Marek; Poláčik, Peter
6
1999
Existence of positive solutions of a semilinear elliptic equation in \(\mathbb{R}_+^n\) with a nonlinear boundary condition. Zbl 0932.35086
Chipot, M.; Chlebík, M.; Fila, M.; Shafrir, I.
42
1998
A Fujita-type theorem for the Laplace equation with a dynamical boundary condition. Zbl 0922.35053
Amann, H.; Fila, M.
24
1997
Global solutions of the Laplace equation with a nonlinear dynamical boundary condition. Zbl 0880.35056
Fila, Marek; Quittner, Pavol
14
1997
On the boundedness of global solutions of abstract semilinear parabolic equations. Zbl 0892.35069
Fila, Marek; Levine, Howard A.
6
1997
Boundedness of global solutions of nonlocal parabolic equations. Zbl 0902.35055
Fila, Marek
5
1997
On the solutions to some elliptic equations with nonlinear Neumann boundary conditions. Zbl 0839.35042
Chipot, M.; Shafrir, I.; Fila, M.
41
1996
Blow-up on the boundary: A survey. Zbl 0858.35065
Fila, Marek; Filo, Ján
26
1996
On critical exponents for a semilinear parabolic system coupled in an equation and a boundary condition. Zbl 0870.35049
Fila, Marek; Levine, Howard A.
18
1996
Interior gradient blow-up in a semilinear parabolic equation. Zbl 0864.35052
Angenent, Sigurd B.; Fila, Marek
17
1996
The transition from decay to blow-up in some reaction-diffusion-convection equations. Zbl 0849.35057
Fila, Marek; Sacks, Paul
2
1996
On critical exponents for a system of heat equations coupled in the boundary conditions. Zbl 0824.35048
Deng, K.; Fila, M.; Levine, H. A.
39
1994
Derivative blow-up and beyond for quasilinear parabolic equations. Zbl 0811.35059
Fila, Marek; Lieberman, Gary M.
30
1994
A Fujita-type global existence – global non-existence theorem for a system of reaction diffusion equations with differing diffusivities. Zbl 0814.35046
Fila, Marek; Levine, Howard A.; Uda, Yoshitaka
9
1994
Quenching on the boundary. Zbl 0809.35043
Fila, Marek; Levine, Howard A.
29
1993
Stabilization of solutions of weakly singular quenching problems. Zbl 0785.35054
Fila, Marek; Levine, Howard A.; Vazquez, Juan L.
12
1993
Radial positive solutions for a semilinear elliptic equation with a gradient term. Zbl 0803.35035
Fila, M.; Quittner, P.
6
1993
Boundedness of global solutions of nonlinear diffusion equations. Zbl 0764.35010
Fila, Marek
31
1992
Quenching for quasilinear equations. Zbl 0801.35057
Fila, Marek; Kawohl, Bernhard; Levine, Howard A.
14
1992
Asymptotic analysis of quenching problems. Zbl 0798.35079
Fila, Marek; Kawohl, Bernhard
13
1992
The quenching problem on the \(N\)-dimensional ball. Zbl 0792.35097
Fila, Marek; Hulshof, Josephus; Quittner, Pavol
11
1992
Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions. Zbl 0743.35038
Chipot, M.; Fila, M.; Quittner, P.
57
1991
The blow-up rate for the heat equation with a nonlinear boundary condition. Zbl 0735.35014
Fila, Marek; Quittner, Pavol
46
1991
Remarks on blow up for a nonlinear parabolic equation with a gradient term. Zbl 0768.35047
Fila, Marek
26
1991
A note on the quenching rate. Zbl 0727.35007
Fila, Marek; Hulshof, Josephus
19
1991
Is quenching in infinite time possible? Zbl 0737.35005
Fila, Marek; Kawohl, Bernhard
8
1990
Blow up for a nonlinear degenerate parabolic equation. Zbl 0729.35017
Fila, M.; Filo, J.
1
1990
Boundedness of global solutions for the heat equation with nonlinear boundary conditions. Zbl 0702.35141
Fila, Marek
19
1989
A blow-up result for nonlinear diffusion equations. Zbl 0704.35071
Fila, Marek; Filo, Ján
2
1989
Stabilization of solutions of certain one-dimensional degenerate diffusion equations. Zbl 0619.35064
Fila, Marek; Filo, Ján
2
1987
all top 5

Cited by 671 Authors

40 Fila, Marek
32 Souplet, Philippe
24 Winkler, Michael
23 Rossi, Julio Daniel
22 Zheng, Sining
20 Ishige, Kazuhiro
16 Kawakami, Tatsuki
16 Wang, Mingxin
15 Lin, Zhigui
15 Yanagida, Eiji
14 Quittner, Pavol
13 Li, Fengjie
13 Liu, Bingchen
13 Mu, Chunlai
10 Quirós Gracián, Fernando
9 Ferreira, Raúl
9 Guo, Jong-Shenq
9 Xie, Chunhong
8 Mizoguchi, Noriko
8 Song, Xianfa
8 Vazquez, Juan Luis
7 de Pablo, Arturo
7 Fujishima, Yohei
7 Hu, Bei
7 Ji, Ruihong
7 Kirane, Mokhtar
7 Levine, Howard Allen
7 Zhang, Zhengce
6 Deng, Keng
6 Harada, Junichi
6 Poláčik, Peter
6 Wang, Shu
6 Wei, Juncheng
6 Yin, Jingxue
6 Zaag, Hatem
5 Dratman, Ezequiel
5 Hui, Kin Ming
5 Lankeit, Johannes
5 Punzo, Fabio
5 Rodríguez-Bernal, Aníbal
5 Wang, Wei
5 Xing, Ruixiang
5 Yin, Hongming
5 Zhou, Mingjun
4 Brändle, Cristina
4 Chen, Shaohua
4 Dávila, Juan
4 Ding, Juntang
4 Fernández Bonder, Julián
4 Filo, Ján
4 Ghoul, Tej-Eddine
4 Hong, Li
4 King, John Robert
4 Korpusov, Maksim Olegovich
4 Li, Huiling
4 Matera, Guillermo
4 Meglioli, Giulia
4 da Silva Montenegro, Marcelo
4 Naito, Yūki
4 Nguyen, Van Tien
4 Sierżȩga, Mikołaj
4 Takahashi, Jin
4 Tan, Jinggang
4 Tan, Zhong
4 Umezu, Kenichiro
4 Vulkov, Lubin G.
4 Wang, Weimin
4 Wang, Zejia
4 Weissler, Fred B.
4 Zheng, Gao-Feng
4 Zhou, Peng
3 Ahmad, Bashir
3 Al-saedi, Ahmed Eid Salem
3 Andreu, Fuensanta
3 Arrieta, José M.
3 Charkaoui, Abderrahim
3 Chipot, Michel
3 Diaz Diaz, Jesus Ildefonso
3 Eddine Alaa, Nour
3 Fang, Zhongbo
3 Ferreira, Lucas Catão de Freitas
3 Furtado, Marcelo Fernandes
3 Galaktionov, Victor Aleksandrovich
3 Grillo, Gabriele
3 Hamamuki, Nao
3 Hoshino, Masaki
3 Jiang, Zhaoxin
3 Kavallaris, Nikos I.
3 Kim, Kwang Ik
3 Li, Xiaojun
3 Li, YanYan
3 Ling, Zhi
3 Liu, Qilin
3 Mahmoudi, Nejib
3 Matsue, Kaname
3 Merle, Frank
3 Okamoto, Hisashi
3 Pan, Hongjing
3 Parshad, Rana D.
3 Pérez-Llanos, Mayte
...and 571 more Authors
all top 5

Cited in 148 Serials

64 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
63 Journal of Mathematical Analysis and Applications
57 Journal of Differential Equations
21 Applied Mathematics and Computation
20 Applied Mathematics Letters
17 Discrete and Continuous Dynamical Systems
15 Journal of Functional Analysis
15 Calculus of Variations and Partial Differential Equations
12 Applicable Analysis
12 Mathematische Annalen
10 Mathematical Methods in the Applied Sciences
10 Proceedings of the American Mathematical Society
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Computers & Mathematics with Applications
9 Nonlinear Analysis. Real World Applications
9 Boundary Value Problems
9 SN Partial Differential Equations and Applications
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Acta Mathematica Sinica. English Series
8 Nonlinear Analysis. Theory, Methods & Applications
7 Journal of Computational and Applied Mathematics
7 Quarterly of Applied Mathematics
7 Transactions of the American Mathematical Society
6 Archive for Rational Mechanics and Analysis
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 SIAM Journal on Mathematical Analysis
6 Journal of Dynamics and Differential Equations
6 NoDEA. Nonlinear Differential Equations and Applications
6 Differential Equations
5 Rocky Mountain Journal of Mathematics
5 Communications in Partial Differential Equations
5 Journal of Evolution Equations
5 Communications on Pure and Applied Analysis
4 Israel Journal of Mathematics
4 Mathematical Notes
4 Advances in Mathematics
4 Duke Mathematical Journal
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Applied Mathematics. Series B (English Edition)
4 Communications in Contemporary Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
4 Advances in Nonlinear Analysis
3 Journal d’Analyse Mathématique
3 Nonlinearity
3 Czechoslovak Mathematical Journal
3 Numerische Mathematik
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Tôhoku Mathematical Journal. Second Series
3 Zeitschrift für Analysis und ihre Anwendungen
3 Science in China. Series A
3 Journal of Inequalities and Applications
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Discrete and Continuous Dynamical Systems. Series S
3 Science China. Mathematics
3 Journal of Elliptic and Parabolic Equations
2 Journal of Engineering Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Archiv der Mathematik
2 International Journal of Mathematics and Mathematical Sciences
2 Results in Mathematics
2 Siberian Mathematical Journal
2 Tokyo Journal of Mathematics
2 Physica D
2 Journal of Complexity
2 Mathematical and Computer Modelling
2 Journal of Integral Equations and Applications
2 The Journal of Geometric Analysis
2 Journal of Mathematical Sciences (New York)
2 Electronic Journal of Differential Equations (EJDE)
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Abstract and Applied Analysis
2 Taiwanese Journal of Mathematics
2 Revista Matemática Complutense
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Dynamical and Control Systems
2 Advanced Nonlinear Studies
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Central European Journal of Mathematics
2 TWMS Journal of Pure and Applied Mathematics
2 Electronic Research Archive
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Computational Physics
1 Journal of Mathematical Biology
1 Lithuanian Mathematical Journal
1 Computing
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Meccanica
1 Michigan Mathematical Journal
1 Osaka Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Theoretical Computer Science
1 Applied Mathematics and Mechanics. (English Edition)
...and 48 more Serials

Citations by Year