×

zbMATH — the first resource for mathematics

Poláčik, Peter

Compute Distance To:
Author ID: polacik.peter Recent zbMATH articles by "Poláčik, Peter"
Published as: Polacik, Peter; Polácik, P.; Polácik, Peter; Poláçik, Peter; Poláčik, P.; Poláčik, Peter
External Links: MGP
Documents Indexed: 105 Publications since 1987, including 2 Books
Reviewing Activity: 155 Reviews
all top 5

Serials

13 Journal of Differential Equations
8 Journal of Dynamics and Differential Equations
8 Discrete and Continuous Dynamical Systems
6 Communications in Partial Differential Equations
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 SIAM Journal on Mathematical Analysis
3 Archive for Rational Mechanics and Analysis
3 Indiana University Mathematics Journal
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Annalen
3 Proceedings of the American Mathematical Society
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Journal of Functional Analysis
2 Memoirs of the American Mathematical Society
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Differential and Integral Equations
2 Acta Mathematica Universitatis Comenianae. New Series
2 Advances in Differential Equations
2 Nonlinear Analysis. Theory, Methods & Applications
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Biology
1 Nonlinearity
1 Commentationes Mathematicae Universitatis Carolinae
1 Duke Mathematical Journal
1 Mathematische Zeitschrift
1 Transactions of the American Mathematical Society
1 Asymptotic Analysis
1 Mathematica Bohemica
1 Tatra Mountains Mathematical Publications
1 Electronic Journal of Qualitative Theory of Differential Equations
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Evolution Equations
1 Journal of Fixed Point Theory and Applications
1 Networks and Heterogeneous Media
1 Discrete and Continuous Dynamical Systems. Series S

Publications by Year

Citations contained in zbMATH

94 Publications have been cited 1,348 times in 783 Documents Cited by Year
Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems. Zbl 1146.35038
Poláčik, Peter; Quittner, Pavol; Souplet, Philippe
150
2007
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
79
2001
On bounded and unbounded global solutions of a supercritical semilinear heat equation. Zbl 1055.35055
Poláčik, Peter; Yanagida, Eiji
60
2003
Singularity and decay estimates in superlinear problems via Liouville-type theorems. II: Parabolic equations. Zbl 1122.35051
Poláčik, Peter; Quittner, Pavol; Souplet, Philippe
57
2007
Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems. Zbl 0755.58039
Poláčik, P.; Tereščák, I.
48
1991
Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations. Zbl 0786.58002
Poláčik, P.; Tereščák, Ignác
44
1993
Convergence in smooth strongly monotone flows defined by semilinear parabolic equations. Zbl 0684.34064
Poláčik, Peter
40
1989
Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball. Zbl 0839.35059
Chen, Xu-Yan; Poláčik, Peter
33
1996
Competing species near a degenerate limit. Zbl 1043.35080
Hutson, V.; Lou, Y.; Mischaikow, K.; Polácik, P.
32
2003
Complicated dynamics of scalar reaction diffusion equations with a nonlocal term. Zbl 0726.35060
Fiedler, Bernold; Poláčik, Peter
31
1990
Nonconvergent bounded trajectories in semilinear heat equations. Zbl 0845.35054
Poláčik, Peter; Rybakowski, Krzysztof P.
30
1996
The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension. Zbl 0868.35062
Brunovský, P.; Poláčik, P.
28
1997
Parabolic equations: Asymptotic behavior and dynamics on invariant manifolds. Zbl 1002.35001
Poláčik, P.
27
2002
Convergence in general periodic parabolic equations in one space dimension. Zbl 0796.35009
Brunovský, P.; Poláčik, P.; Sandstede, B.
26
1992
Convergence to equilibrium for semilinear parabolic problems in \(\mathbb{R}^N\). Zbl 1021.35013
Busca, J.; Jendoubi, M. A.; Poláčik, P.
25
2002
On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry. Zbl 1178.35098
Földes, J.; Poláčik, Peter
22
2009
Loops and branches of coexistence states in a Lotka–Volterra competition model. Zbl 1154.35011
Lou, Yuan; Martínez, Salomé; Poláčik, Peter
22
2006
A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation. Zbl 1092.35045
Poláčik, Peter; Quittner, Pavol
22
2006
Threshold solutions and sharp transitions for nonautonomous parabolic equations on \({\mathbb{R}^N}\). Zbl 1262.35130
Poláčik, P.
20
2011
Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations. Zbl 1215.35041
Bartsch, Thomas; Poláčik, Peter; Quittner, Pavol
20
2011
A Liouville property and quasiconvergence for a semilinear heat equation. Zbl 1068.35044
Poláčik, P.; Yanagida, E.
19
2005
Monotonicity of stable solutions in shadow systems. Zbl 0981.35018
Ni, Wei-Ming; Polácik, Peter; Yanagida, Eiji
19
2001
Symmetry and convergence properties for nonnegative solutions of nonautonomous reaction-diffusion problems. Zbl 0811.35049
Hess, Peter; Poláčik, P.
19
1994
Immediate regularization after blow-up. Zbl 1102.35053
Fila, Marek; Matano, Hiroshi; Polácik, Peter
18
2005
Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations. Zbl 1139.35046
Húska, Juraj; Poláčik, Peter; Safonov, Mikhail V.
17
2007
Nonconvergent bounded solutions of semilinear heat equations on arbitrary domains. Zbl 1024.35046
Poláčik, P.; Simondon, F.
17
2002
Structure of periodic solutions and asymptotic behavior for time-periodic reaction-diffusion equations on \(\mathbb{R}\). Zbl 0987.35079
Feireisl, Eduard; Poláčik, Peter
17
2000
Convergence to a positive equilibrium for some nonlinear evolution equations in a ball. Zbl 0824.35011
Haraux, A.; Poláčik, P.
17
1992
Complicated dynamics in scalar semilinear parabolic equations in higher space dimension. Zbl 0738.35027
Poláčik, Peter
17
1991
Boundedness of prime periods of stable cycles and convergence to fixed points in discrete monotone dynamical systems. Zbl 0797.58077
Hess, Peter; Poláčik, Peter
15
1993
Erratum to: Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations. Zbl 0791.58008
Poláčik, P.; Tereščák, I.
14
1994
Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences. Zbl 1345.35052
Matano, H.; Poláčik, P.
13
2016
Locally uniform convergence to an equilibrium for nonlinear parabolic equations on \(\mathbb{R}^N\). Zbl 1336.35207
Du, Yihong; Poláčik, Peter
13
2015
On the local structure of \(\omega\)-limit sets of maps. Zbl 0889.34048
Brunovský, P.; Poláčik, P.
12
1997
The principal Floquet bundle and exponential separation for linear parabolic equations. Zbl 1128.35353
Húska, Juraj; Poláčik, Peter
11
2004
Symmetry properties of positive solutions of parabolic equations: a survey. Zbl 1213.35042
Poláčik, P.
10
2009
Estimates of solutions and asymptotic symmetry for parabolic equations on bounded domains. Zbl 1171.35063
Poláčik, Peter
10
2007
High-dimensional \(\omega\)-limit sets and chaos in scalar parabolic equations. Zbl 0830.35060
Poláčik, Peter
10
1995
Realization of vector fields and dynamics of spatially homogeneous parabolic equations. Zbl 0926.35060
Dancer, E. N.; Poláčik, P.
9
1999
Realization of any finite jet in a scalar semilinear parabolic equation on the ball in \(\mathbb{R}^ 3\). Zbl 0774.35041
Poláčik, Peter
9
1991
Convergence to a steady state for asymptotically autonomous semilinear heat equations on \(\mathbb R^N\). Zbl 1263.35035
Földes, Juraj; Poláčik, P.
8
2011
Liouville type theorems and complete blow-up for indefinite superlinear parabolic equations. Zbl 1093.35037
Poláčik, Peter; Quittner, Pavol
8
2005
Symmetry properties of positive solutions of parabolic equations on \(\mathbb R^N\). I: Asymptotic symmetry for the Cauchy problem. Zbl 1083.35045
Poláčik, P.
8
2005
On uniqueness of positive entire solutions and other properties of linear parabolic equations. Zbl 1067.35030
Poláčik, P.
8
2005
Non-stabilizing solutions of semilinear hyperbolic and elliptic equations with damping. Zbl 1046.37045
Jendoubi, M. A.; Poláčik, P.
8
2003
Global nonexistence without blow-up for an evolution problem. Zbl 0938.35030
Fila, Marek; Poláčik, Peter
8
1999
Existence of quasiperiodic solutions of elliptic equations on \(\mathbb{R}^{N + 1}\) via center manifold and KAM theorems. Zbl 1372.35016
Poláčik, Peter; Valdebenito, Darío A.
7
2017
Threshold behavior and non-quasiconvergent solutions with localized initial data for bistable reaction-diffusion equations. Zbl 06643365
Poláčik, P.
7
2016
Examples of bounded solutions with nonstationary limit profiles for semilinear heat equations on \({\mathbb{R}}\). Zbl 1319.35097
Poláčik, P.
7
2015
The parabolic logistic equation with blow-up initial and boundary values. Zbl 1308.35127
Du, Yihong; Peng, Rui; Poláçik, Peter
7
2012
Symmetry properties of positive solutions of parabolic equations on \(\mathbb R^N\). II: Entire solutions. Zbl 1128.35051
Poláčik, P.
7
2006
Nonstabilizing solutions and grow-up set for a supercritical semilinear diffusion equation. Zbl 1174.35403
Poláčik, P.; Yanagida, E.
7
2004
Gradient-like structure and Morse decompositions for time-periodic one- dimensional parabolic equations. Zbl 0822.35073
Chen, Xu-Yan; Poláčik, Peter
7
1995
Imbedding of any vector field in a scalar semilinear parabolic equation. Zbl 0755.35046
Poláčik, P.
7
1992
Domains of attraction of equilibria and monotonicity of convergent trajectories in parabolic systems admitting strong comparison principle. Zbl 0667.35036
Poláčik, Peter
7
1989
Localized solutions of a semilinear parabolic equation with a recurrent nonstationary asymptotics. Zbl 1316.35148
Poláčik, Peter; Yanagida, Eiji
6
2014
Zeros of complex caloric functions and singularities of complex viscous Burgers equation. Zbl 1188.35153
Poláčik, P.; Šverák, V.
6
2008
Morse indices and bifurcations of positive solutions of \(\Delta u+f(u)=0\) on \(\mathbb R^ N\). Zbl 1101.35321
Poláčik, Peter
6
2001
Global solutions of a semilinear parabolic equation. Zbl 0953.35065
Fila, Marek; Poláčik, Peter
6
1999
Transversal and nontransversal intersections of stable and unstable manifolds in reaction diffusion equations on symmetric domains. Zbl 0809.35041
Poláčik, Peter
6
1994
Generic hyperbolicity in one-dimensional reaction-diffusion equations with general boundary conditions. Zbl 0639.35039
Poláčik, Peter
6
1987
An entire solution of a bistable parabolic equation on \(\mathbb{R}\) with two colliding pulses. Zbl 1362.35152
Matano, H.; Poláčik, P.
5
2017
On symmetry of nonnegative solutions of elliptic equations. Zbl 1241.35073
Poláčik, P.
5
2012
Symmetry of nonnegative solutions of elliptic equations via a result of Serrin. Zbl 1241.35083
Poláčik, P.
5
2011
Existence of \(L^1\)-connections between equilibria of a semilinear parabolic equation. Zbl 1001.35054
Fila, Marek; Matano, Hiroshi; Poláčik, Peter
5
2002
Imbedding vector fields in scalar parabolic Dirichlet BVPs. Zbl 0852.35074
Poláčik, Peter; Rybakowski, Krzysztof
5
1995
Group actions on strongly monotone dynamical systems. Zbl 0642.58031
Mierczyński, Janusz; Poláčik, Peter
5
1989
Planar propagating terraces and the asymptotic one-dimensional symmetry of solutions of semilinear parabolic equations. Zbl 06780933
Poláčik, P.
4
2017
Nonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domains. Zbl 1286.35109
Poláčik, P.; Terracini, Susanna
4
2014
On the multiplicity of nonnegative solutions with a nontrivial nodal set for elliptic equations on symmetric domains. Zbl 1285.35034
Poláčik, Peter
4
2014
Exponential separation and principal Floquet bundles for linear parabolic equations on \(\mathbb R^N\). Zbl 1170.35021
Húska, Juraj; Poláčik, Peter
4
2008
Stable periodic solutions of a spatially homogeneous nonlocal reaction-diffusion equation. Zbl 0865.35065
Poláčik, Peter; Šošovička, Vladimír
4
1996
Asymptotic behavior of solutions of semilinear elliptic equations on an unbounded strip. Zbl 0744.35013
Brunovský, P.; Mora, X.; Poláčik, P.; Solà-Morales, J.
4
1991
Generic hyperbolicity for reaction diffusion equations on symmetric domains. Zbl 0622.35005
Brunovský, Pavol; Poláčik, Peter
4
1987
Propagating terraces and the dynamics of front-like solutions of reaction-diffusion equations on \(\mathbb{R}\). Zbl 1450.35002
Poláčik, Peter
3
2020
Global unbounded solutions of the Fujita equation in the intermediate range. Zbl 1319.35109
Poláčik, Peter; Yanagida, Eiji
3
2014
Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation. Zbl 1197.35150
Poláčik, Peter; Yanagida, Eiji
3
2009
Asymptotic behavior of threshold and sub-threshold solutions of a semilinear heat equation. Zbl 1153.35014
Poláčik, Peter; Quittner, Pavol
3
2008
Principal eigenvalues, spectral gaps and exponential separation between positive and sign-changing solutions of parabolic equations. Zbl 1152.35391
Húska, J.; Poláčik, P.; Safonov, M. V.
3
2005
Immediate regularization after blow-up. Zbl 1108.35092
Fila, M.; Matano, H.; Poláčik, P.
3
2005
Existence of stable subharmonic solutions for reaction-diffusion equations. Zbl 0981.35023
Poláčik, Peter; Yanagida, Eiji
3
2001
Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. Zbl 1393.35076
Pauthier, Antoine; Poláčik, Peter
2
2018
Positivity and symmetry of nonnegative solutions of semilinear elliptic equations on planar domains. Zbl 1243.35074
Poláčik, P.
2
2012
Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations. Zbl 1010.35009
Poláčik, P.
2
2002
Stable subharmonic solutions of reaction-diffusion equations on an arbitrary domain. Zbl 0993.35051
Poláčik, Peter; Yanagida, Eiji
2
2002
Realization of the dynamic of ODE’s in scalar parabolic PDEs. Zbl 0811.35065
Poláčik, Peter
2
1994
Existence of unstable sets for invariant sets in compact semiflows. Applications in order-preserving semiflows. Zbl 0724.58054
Poláčik, Peter
2
1990
Generic properties of strongly monotone semiflows defined by ordinary and parabolic differential equations. Zbl 0714.58043
Poláčik, P.
2
1990
Entire solutions and a Liouville theorem for a class of parabolic equations on the real line. Zbl 1448.35304
Poláčik, P.
1
2020
On the multiplicity of self-similar solutions of the semilinear heat equation. Zbl 1428.35170
Poláčik, P.; Quittner, P.
1
2020
Propagating terraces in a proof of the Gibbons conjecture and related results. Zbl 1366.35093
Poláčik, P.
1
2017
Spatial trajectories and convergence to traveling fronts for bistable reaction-diffusion equations. Zbl 1334.35130
Poláčik, Peter
1
2015
On asymptotically symmetric parabolic equations. Zbl 1262.35041
Földes, Juraj; Poláčik, Peter
1
2012
Persistent saddle connections in a class of reaction-diffusion equations. Zbl 0936.35097
Poláčik, Peter
1
1999
Propagating terraces and the dynamics of front-like solutions of reaction-diffusion equations on \(\mathbb{R}\). Zbl 1450.35002
Poláčik, Peter
3
2020
Entire solutions and a Liouville theorem for a class of parabolic equations on the real line. Zbl 1448.35304
Poláčik, P.
1
2020
On the multiplicity of self-similar solutions of the semilinear heat equation. Zbl 1428.35170
Poláčik, P.; Quittner, P.
1
2020
Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. Zbl 1393.35076
Pauthier, Antoine; Poláčik, Peter
2
2018
Existence of quasiperiodic solutions of elliptic equations on \(\mathbb{R}^{N + 1}\) via center manifold and KAM theorems. Zbl 1372.35016
Poláčik, Peter; Valdebenito, Darío A.
7
2017
An entire solution of a bistable parabolic equation on \(\mathbb{R}\) with two colliding pulses. Zbl 1362.35152
Matano, H.; Poláčik, P.
5
2017
Planar propagating terraces and the asymptotic one-dimensional symmetry of solutions of semilinear parabolic equations. Zbl 06780933
Poláčik, P.
4
2017
Propagating terraces in a proof of the Gibbons conjecture and related results. Zbl 1366.35093
Poláčik, P.
1
2017
Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences. Zbl 1345.35052
Matano, H.; Poláčik, P.
13
2016
Threshold behavior and non-quasiconvergent solutions with localized initial data for bistable reaction-diffusion equations. Zbl 06643365
Poláčik, P.
7
2016
Locally uniform convergence to an equilibrium for nonlinear parabolic equations on \(\mathbb{R}^N\). Zbl 1336.35207
Du, Yihong; Poláčik, Peter
13
2015
Examples of bounded solutions with nonstationary limit profiles for semilinear heat equations on \({\mathbb{R}}\). Zbl 1319.35097
Poláčik, P.
7
2015
Spatial trajectories and convergence to traveling fronts for bistable reaction-diffusion equations. Zbl 1334.35130
Poláčik, Peter
1
2015
Localized solutions of a semilinear parabolic equation with a recurrent nonstationary asymptotics. Zbl 1316.35148
Poláčik, Peter; Yanagida, Eiji
6
2014
Nonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domains. Zbl 1286.35109
Poláčik, P.; Terracini, Susanna
4
2014
On the multiplicity of nonnegative solutions with a nontrivial nodal set for elliptic equations on symmetric domains. Zbl 1285.35034
Poláčik, Peter
4
2014
Global unbounded solutions of the Fujita equation in the intermediate range. Zbl 1319.35109
Poláčik, Peter; Yanagida, Eiji
3
2014
The parabolic logistic equation with blow-up initial and boundary values. Zbl 1308.35127
Du, Yihong; Peng, Rui; Poláçik, Peter
7
2012
On symmetry of nonnegative solutions of elliptic equations. Zbl 1241.35073
Poláčik, P.
5
2012
Positivity and symmetry of nonnegative solutions of semilinear elliptic equations on planar domains. Zbl 1243.35074
Poláčik, P.
2
2012
On asymptotically symmetric parabolic equations. Zbl 1262.35041
Földes, Juraj; Poláčik, Peter
1
2012
Threshold solutions and sharp transitions for nonautonomous parabolic equations on \({\mathbb{R}^N}\). Zbl 1262.35130
Poláčik, P.
20
2011
Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations. Zbl 1215.35041
Bartsch, Thomas; Poláčik, Peter; Quittner, Pavol
20
2011
Convergence to a steady state for asymptotically autonomous semilinear heat equations on \(\mathbb R^N\). Zbl 1263.35035
Földes, Juraj; Poláčik, P.
8
2011
Symmetry of nonnegative solutions of elliptic equations via a result of Serrin. Zbl 1241.35083
Poláčik, P.
5
2011
On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry. Zbl 1178.35098
Földes, J.; Poláčik, Peter
22
2009
Symmetry properties of positive solutions of parabolic equations: a survey. Zbl 1213.35042
Poláčik, P.
10
2009
Convergence of anisotropically decaying solutions of a supercritical semilinear heat equation. Zbl 1197.35150
Poláčik, Peter; Yanagida, Eiji
3
2009
Zeros of complex caloric functions and singularities of complex viscous Burgers equation. Zbl 1188.35153
Poláčik, P.; Šverák, V.
6
2008
Exponential separation and principal Floquet bundles for linear parabolic equations on \(\mathbb R^N\). Zbl 1170.35021
Húska, Juraj; Poláčik, Peter
4
2008
Asymptotic behavior of threshold and sub-threshold solutions of a semilinear heat equation. Zbl 1153.35014
Poláčik, Peter; Quittner, Pavol
3
2008
Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems. Zbl 1146.35038
Poláčik, Peter; Quittner, Pavol; Souplet, Philippe
150
2007
Singularity and decay estimates in superlinear problems via Liouville-type theorems. II: Parabolic equations. Zbl 1122.35051
Poláčik, Peter; Quittner, Pavol; Souplet, Philippe
57
2007
Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations. Zbl 1139.35046
Húska, Juraj; Poláčik, Peter; Safonov, Mikhail V.
17
2007
Estimates of solutions and asymptotic symmetry for parabolic equations on bounded domains. Zbl 1171.35063
Poláčik, Peter
10
2007
Loops and branches of coexistence states in a Lotka–Volterra competition model. Zbl 1154.35011
Lou, Yuan; Martínez, Salomé; Poláčik, Peter
22
2006
A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation. Zbl 1092.35045
Poláčik, Peter; Quittner, Pavol
22
2006
Symmetry properties of positive solutions of parabolic equations on \(\mathbb R^N\). II: Entire solutions. Zbl 1128.35051
Poláčik, P.
7
2006
A Liouville property and quasiconvergence for a semilinear heat equation. Zbl 1068.35044
Poláčik, P.; Yanagida, E.
19
2005
Immediate regularization after blow-up. Zbl 1102.35053
Fila, Marek; Matano, Hiroshi; Polácik, Peter
18
2005
Liouville type theorems and complete blow-up for indefinite superlinear parabolic equations. Zbl 1093.35037
Poláčik, Peter; Quittner, Pavol
8
2005
Symmetry properties of positive solutions of parabolic equations on \(\mathbb R^N\). I: Asymptotic symmetry for the Cauchy problem. Zbl 1083.35045
Poláčik, P.
8
2005
On uniqueness of positive entire solutions and other properties of linear parabolic equations. Zbl 1067.35030
Poláčik, P.
8
2005
Principal eigenvalues, spectral gaps and exponential separation between positive and sign-changing solutions of parabolic equations. Zbl 1152.35391
Húska, J.; Poláčik, P.; Safonov, M. V.
3
2005
Immediate regularization after blow-up. Zbl 1108.35092
Fila, M.; Matano, H.; Poláčik, P.
3
2005
The principal Floquet bundle and exponential separation for linear parabolic equations. Zbl 1128.35353
Húska, Juraj; Poláčik, Peter
11
2004
Nonstabilizing solutions and grow-up set for a supercritical semilinear diffusion equation. Zbl 1174.35403
Poláčik, P.; Yanagida, E.
7
2004
On bounded and unbounded global solutions of a supercritical semilinear heat equation. Zbl 1055.35055
Poláčik, Peter; Yanagida, Eiji
60
2003
Competing species near a degenerate limit. Zbl 1043.35080
Hutson, V.; Lou, Y.; Mischaikow, K.; Polácik, P.
32
2003
Non-stabilizing solutions of semilinear hyperbolic and elliptic equations with damping. Zbl 1046.37045
Jendoubi, M. A.; Poláčik, P.
8
2003
Parabolic equations: Asymptotic behavior and dynamics on invariant manifolds. Zbl 1002.35001
Poláčik, P.
27
2002
Convergence to equilibrium for semilinear parabolic problems in \(\mathbb{R}^N\). Zbl 1021.35013
Busca, J.; Jendoubi, M. A.; Poláčik, P.
25
2002
Nonconvergent bounded solutions of semilinear heat equations on arbitrary domains. Zbl 1024.35046
Poláčik, P.; Simondon, F.
17
2002
Existence of \(L^1\)-connections between equilibria of a semilinear parabolic equation. Zbl 1001.35054
Fila, Marek; Matano, Hiroshi; Poláčik, Peter
5
2002
Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations. Zbl 1010.35009
Poláčik, P.
2
2002
Stable subharmonic solutions of reaction-diffusion equations on an arbitrary domain. Zbl 0993.35051
Poláčik, Peter; Yanagida, Eiji
2
2002
The evolution of dispersal rates in a heterogeneous time-periodic environment. Zbl 0996.92035
Hutson, V.; Mischaikow, K.; Poláčik, P.
79
2001
Monotonicity of stable solutions in shadow systems. Zbl 0981.35018
Ni, Wei-Ming; Polácik, Peter; Yanagida, Eiji
19
2001
Morse indices and bifurcations of positive solutions of \(\Delta u+f(u)=0\) on \(\mathbb R^ N\). Zbl 1101.35321
Poláčik, Peter
6
2001
Existence of stable subharmonic solutions for reaction-diffusion equations. Zbl 0981.35023
Poláčik, Peter; Yanagida, Eiji
3
2001
Structure of periodic solutions and asymptotic behavior for time-periodic reaction-diffusion equations on \(\mathbb{R}\). Zbl 0987.35079
Feireisl, Eduard; Poláčik, Peter
17
2000
Realization of vector fields and dynamics of spatially homogeneous parabolic equations. Zbl 0926.35060
Dancer, E. N.; Poláčik, P.
9
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
Persistent saddle connections in a class of reaction-diffusion equations. Zbl 0936.35097
Poláčik, Peter
1
1999
The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension. Zbl 0868.35062
Brunovský, P.; Poláčik, P.
28
1997
On the local structure of \(\omega\)-limit sets of maps. Zbl 0889.34048
Brunovský, P.; Poláčik, P.
12
1997
Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball. Zbl 0839.35059
Chen, Xu-Yan; Poláčik, Peter
33
1996
Nonconvergent bounded trajectories in semilinear heat equations. Zbl 0845.35054
Poláčik, Peter; Rybakowski, Krzysztof P.
30
1996
Stable periodic solutions of a spatially homogeneous nonlocal reaction-diffusion equation. Zbl 0865.35065
Poláčik, Peter; Šošovička, Vladimír
4
1996
High-dimensional \(\omega\)-limit sets and chaos in scalar parabolic equations. Zbl 0830.35060
Poláčik, Peter
10
1995
Gradient-like structure and Morse decompositions for time-periodic one- dimensional parabolic equations. Zbl 0822.35073
Chen, Xu-Yan; Poláčik, Peter
7
1995
Imbedding vector fields in scalar parabolic Dirichlet BVPs. Zbl 0852.35074
Poláčik, Peter; Rybakowski, Krzysztof
5
1995
Symmetry and convergence properties for nonnegative solutions of nonautonomous reaction-diffusion problems. Zbl 0811.35049
Hess, Peter; Poláčik, P.
19
1994
Erratum to: Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations. Zbl 0791.58008
Poláčik, P.; Tereščák, I.
14
1994
Transversal and nontransversal intersections of stable and unstable manifolds in reaction diffusion equations on symmetric domains. Zbl 0809.35041
Poláčik, Peter
6
1994
Realization of the dynamic of ODE’s in scalar parabolic PDEs. Zbl 0811.35065
Poláčik, Peter
2
1994
Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations. Zbl 0786.58002
Poláčik, P.; Tereščák, Ignác
44
1993
Boundedness of prime periods of stable cycles and convergence to fixed points in discrete monotone dynamical systems. Zbl 0797.58077
Hess, Peter; Poláčik, Peter
15
1993
Convergence in general periodic parabolic equations in one space dimension. Zbl 0796.35009
Brunovský, P.; Poláčik, P.; Sandstede, B.
26
1992
Convergence to a positive equilibrium for some nonlinear evolution equations in a ball. Zbl 0824.35011
Haraux, A.; Poláčik, P.
17
1992
Imbedding of any vector field in a scalar semilinear parabolic equation. Zbl 0755.35046
Poláčik, P.
7
1992
Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems. Zbl 0755.58039
Poláčik, P.; Tereščák, I.
48
1991
Complicated dynamics in scalar semilinear parabolic equations in higher space dimension. Zbl 0738.35027
Poláčik, Peter
17
1991
Realization of any finite jet in a scalar semilinear parabolic equation on the ball in \(\mathbb{R}^ 3\). Zbl 0774.35041
Poláčik, Peter
9
1991
Asymptotic behavior of solutions of semilinear elliptic equations on an unbounded strip. Zbl 0744.35013
Brunovský, P.; Mora, X.; Poláčik, P.; Solà-Morales, J.
4
1991
Complicated dynamics of scalar reaction diffusion equations with a nonlocal term. Zbl 0726.35060
Fiedler, Bernold; Poláčik, Peter
31
1990
Existence of unstable sets for invariant sets in compact semiflows. Applications in order-preserving semiflows. Zbl 0724.58054
Poláčik, Peter
2
1990
Generic properties of strongly monotone semiflows defined by ordinary and parabolic differential equations. Zbl 0714.58043
Poláčik, P.
2
1990
Convergence in smooth strongly monotone flows defined by semilinear parabolic equations. Zbl 0684.34064
Poláčik, Peter
40
1989
Domains of attraction of equilibria and monotonicity of convergent trajectories in parabolic systems admitting strong comparison principle. Zbl 0667.35036
Poláčik, Peter
7
1989
Group actions on strongly monotone dynamical systems. Zbl 0642.58031
Mierczyński, Janusz; Poláčik, Peter
5
1989
Generic hyperbolicity in one-dimensional reaction-diffusion equations with general boundary conditions. Zbl 0639.35039
Poláčik, Peter
6
1987
Generic hyperbolicity for reaction diffusion equations on symmetric domains. Zbl 0622.35005
Brunovský, Pavol; Poláčik, Peter
4
1987
all top 5

Cited by 833 Authors

47 Poláčik, Peter
25 Lou, Yuan
17 Yanagida, Eiji
14 Shen, Wenxian
13 Fila, Marek
13 Winkler, Michael
12 Matano, Hiroshi
11 Du, Yihong
11 Mizoguchi, Noriko
11 Souplet, Philippe
11 Wang, Yi
11 Wei, Juncheng
10 Li, Wan-Tong
10 Lou, Bendong
10 Mierczyński, Janusz
10 Obaya, Rafael
10 Peng, Rui
10 Phan, Quoc Hung
10 Weth, Tobias
9 Ishige, Kazuhiro
8 Jendoubi, Mohamed Ali
8 Jiang, Jifa
8 Quittner, Pavol
8 Sanz, Ana M.
8 Villavert, John
8 Wang, Zhi Cheng
8 Yi, Taishan
8 Zhao, Xiao-Qiang
8 Zou, Wenming
7 Chill, Ralph
7 Guo, Zongming
7 Smith, Hal Leslie
7 Vishnevskii, Mikhail P.
6 Cosner, Chris
6 Földes, Juraj
6 Shi, Junping
6 Wu, Jianhua
6 Zhou, Maolin
5 Dancer, Edward Norman
5 Duong, Anh Tuan
5 Fiedler, Bernold
5 Giga, Yoshikazu
5 Giletti, Thomas
5 Harrabi, Abdellaziz
5 Jänig, Axel
5 Kawakami, Tatsuki
5 Langa, Jose’ Antonio
5 Nadin, Grégoire
5 Rodríguez-Bernal, Aníbal
5 Ruan, Shigui
5 Vazquez, Juan Luis
5 Wang, Mingxin
5 Wu, Hao
5 Yang, Hui
4 Cantrell, Robert Stephen
4 Cholewa, Jan W.
4 Ducrot, Arnaud
4 Dupaigne, Louis
4 Fujishima, Yohei
4 García-Melián, Jorge
4 Grasselli, Maurizio
4 Hamel, François
4 Húska, Juraj
4 Joly, Romain
4 Lam, King-Yeung
4 Li, Congming
4 Miyamoto, Yasuhito
4 Naito, Yūki
4 Nolasco de Carvalho, Alexandre
4 Rocha, Carlos
4 Roquejoffre, Jean-Michel
4 Saldaña, Alberto
4 Vakulenko, Sergey A.
4 Vétois, Jérôme
4 Wan, FangShu
4 Wang, Yuxia
4 Wu, Jianhong
4 Zheng, Gao-Feng
4 Zheng, Songmu
3 Alfaro, Matthieu
3 Arrieta, José M.
3 Bao, Jiguang
3 Berestycki, Henri
3 Brunovský, Pavol
3 Chen, Xinfu
3 Cheng, Ze
3 Cortázar, Carmen
3 Dávila, Juan
3 Del Pino, Manuel A.
3 Ding, Weiwei
3 Dlotko, Tomasz W.
3 Enciso, Germán Andrés
3 Farina, Alberto
3 Feireisl, Eduard
3 Feng, Lirui
3 Freitas, Pedro
3 Guo, Jong-Shenq
3 Gyllenberg, Mats
3 Hirata, Kentaro
3 Hirsch, Morris W.
...and 733 more Authors
all top 5

Cited in 136 Serials

135 Journal of Differential Equations
46 Journal of Dynamics and Differential Equations
44 Journal of Mathematical Analysis and Applications
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
26 Discrete and Continuous Dynamical Systems
24 Calculus of Variations and Partial Differential Equations
19 Journal of Functional Analysis
17 Journal of Mathematical Biology
16 Transactions of the American Mathematical Society
15 Communications on Pure and Applied Analysis
14 Mathematische Annalen
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Nonlinear Analysis. Real World Applications
13 Proceedings of the American Mathematical Society
13 Discrete and Continuous Dynamical Systems. Series B
12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
12 Communications in Contemporary Mathematics
11 Communications in Partial Differential Equations
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 NoDEA. Nonlinear Differential Equations and Applications
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Archive for Rational Mechanics and Analysis
9 Advances in Mathematics
9 Journal of Evolution Equations
8 Nonlinearity
8 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Advances in Difference Equations
6 Siberian Mathematical Journal
6 SIAM Journal on Mathematical Analysis
5 Applicable Analysis
5 Bulletin of Mathematical Biology
5 Applied Mathematics Letters
5 Journal of Difference Equations and Applications
5 Journal of Biological Dynamics
5 Science China. Mathematics
4 Journal d’Analyse Mathématique
4 Mathematical Biosciences
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Memoirs of the American Mathematical Society
4 Advances in Nonlinear Analysis
3 Communications in Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Archiv der Mathematik
3 Journal of Computational and Applied Mathematics
3 Physica D
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Journal of Nonlinear Science
3 Advanced Nonlinear Studies
3 Milan Journal of Mathematics
3 Mathematical Biosciences and Engineering
3 Boundary Value Problems
3 Complex Variables and Elliptic Equations
3 Journal of Fixed Point Theory and Applications
3 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Elliptic and Parabolic Equations
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Mathematical Notes
2 Chaos, Solitons and Fractals
2 Acta Mathematica
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Monatshefte für Mathematik
2 Pacific Journal of Mathematics
2 Quarterly of Applied Mathematics
2 Tohoku Mathematical Journal. Second Series
2 Journal of Integral Equations and Applications
2 Topological Methods in Nonlinear Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Revista Matemática Complutense
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Proceedings of the Steklov Institute of Mathematics
2 Analysis and Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Applied Mathematics and Computation
1 Automatica
1 Collectanea Mathematica
1 Czechoslovak Mathematical Journal
1 Journal of the Korean Mathematical Society
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematica Slovaca
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Studies in Applied Mathematics
1 Theoretical Population Biology
1 Ergodic Theory and Dynamical Systems
1 Zeitschrift für Analysis und ihre Anwendungen
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Annals of Pure and Applied Logic
1 Applied Numerical Mathematics
1 Numerical Methods for Partial Differential Equations
...and 36 more Serials

Citations by Year