P. Polácik

发表

Boundedness of prime periods of stable cycles and convergence to fixed points in discrete monotone dynamical systems

Peter Hess, P. Hess, P. Polácik, 1993 .

Complicated dynamics in scalar semilinear parabolic equations in higher space dimension

P. Polácik, 1991 .

Complicated dynamics of scalar reaction diffusion equations with a nonlocal term

B. Fiedler, P. Polácik, 1990, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Domains of attraction of equilibria and monotonicity properties of convergent trajectories in parabolic systems admitting strong comparison principle.

P. Polácik, Peter Poláčik, 1989 .

Convergence in smooth strongly monotone flows defined by semilinear parabolic equations

P. Polácik, Peter Poláčik, 1989 .

Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems

P. Polácik, P. Poláčik, I. Tereščák, 1992 .

Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations

P. Polácik, P. Poláčik, I. Tereščák, 1993 .

Dynamics of nonnegative solutions of one-dimensional reaction–diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences

P. Polácik, H. Matano, 2016 .

Existence of quasiperiodic solutions of elliptic equations on RN+1 via center manifold and KAM theorems

P. Polácik, Darío A. Valdebenito, 2017 .

The Morse–Smale Structure of a Generic Reaction–Diffusion Equation in Higher Space Dimension

Pavol Brunovský, P. Brunovský, P. Polácik, 1997 .

Some generic properties of Schrödinger operators with radial potentials

P. Polácik, Darío A. Valdebenito, 2019, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Propagating terraces in a proof of the Gibbons conjecture and related results

P. Polácik, 2017 .

Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems

P. Polácik, P. Souplet, P. Quittner, 2007 .

Threshold solutions and sharp transitions for nonautonomous parabolic equations on R N

P. Polácik, 2009 .

Convergence to a steady state for asymptotically autonomous semilinear heat equations on RN

P. Polácik, J. Földes, 2011 .

Structure of periodic solutions and asymptotic behavior for time-periodic reaction-diffusion equations on ${\bf R}$

P. Polácik, E. Feireisl, 2000, Advances in Differential Equations.

Convergence and Quasiconvergence Properties of Solutions of Parabolic Equations on the Real Line: An Overview

P. Polácik, 2016 .

Competing Species near a Degenerate Limit

Konstantin Mischaikow, Yuan Lou, Peter Polácik, 2003, SIAM J. Math. Anal..

MICROSCOPIC IRREVERSIBILITY

M. Mimura, A. Mielke, B. Sandstede, 2003 .

Stable subharmonic solutions and asymptotic behavior in reaction-diffusion equations

E. Yanagida, P. Polácik, 2000 .

Principal eigenvalues, spectral gaps and exponential separation between positive and sign-changing solutions of parabolic equations

M. Safonov, P. Polácik, Juraj Húska, 2005 .

Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part II: Generic nonlinearities

P. Polácik, H. Matano, 2020 .

Propagating terraces in a proof of the Gibbons conjecture and related results

P. Polácik, 2016, Journal of Fixed Point Theory and Applications.

Threshold Behavior and Non-quasiconvergent Solutions with Localized Initial Data for Bistable Reaction–Diffusion Equations

P. Polácik, 2014, Journal of Dynamics and Differential Equations.

Examples of bounded solutions with nonstationary limit profiles for semilinear heat equations on R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargi

P. Polácik, 2014, Journal of Evolution Equations.

Chapter 16 - Parabolic Equations: Asymptotic Behavior and Dynamics on Invariant Manifolds

P. Polácik, P. Poláčik, Peter Poláčik, 2002 .

Symmetry Properties of Positive Solutions of Parabolic Equations on ℝ N : II. Entire Solutions

P. Polácik, Peter Poláčik, 2006 .

Symmetry properties of positive solutions of parabolic equations on R N : II

P. Polácik, 2006 .

Transversal and nontransversal intersections of stable and unstable manifolds in reaction diffusion equations on symmetric domains

P. Polácik, 1994, Differential and Integral Equations.

CONVERGENCE TO A POSITIVE EQUILIBRIUM FOR SOME NONLINEAR EVOLUTION EQUATIONS IN A BALL

A. Haraux, P. Polácik, 1992 .

The Existence of Partially Localized Periodic–Quasiperiodic Solutions and Related KAM-Type Results for Elliptic Equations on the Entire Space

P. Polácik, Darío A. Valdebenito, 2020, Journal of Dynamics and Differential Equations.

Existence of partially localized quasiperiodic solutions of homogeneous elliptic equations on R^{N+1}

P. Polácik, Darío A. Valdebenito, Darío A. Valdebenito, 2020, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE.

Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $R^N$

Yihong Du, P. Polácik, 2015 .

Propagating Terraces and the Dynamics of Front-Like Solutions of Reaction-Diffusion Equations on ℝ

P. Polácik, 2020 .

Planar Propagating Terraces and the Asymptotic One-dimensional Symmetry of Solutions of Semilinear Parabolic Equations

Peter Polácik, P. Polácik, 2017, SIAM J. Math. Anal..

Spatial trajectories and convergence to traveling fronts for bistable reaction-diffusion equations

P. Polácik, 2015 .

Threshold Solutions and Sharp Transitions for Nonautonomous Parabolic Equations on $${\mathbb{R}^N}$$

P. Polácik, P. Poláčik, 2011 .

Threshold solutions and sharp transitions for nonautonomous parabolic equations on R N

P. Polácik, 2009 .

Existence of L1-Connections Between Equilibria of a Semilinear Parabolic Equation

M. Fila, P. Polácik, H. Matano, 2002 .

Persistent Saddle Connections in a Class of Reaction–Diffusion Equations

P. Polácik, 1999 .

Exponential Separation and Principal Floquet Bundles for Linear Parabolic Equations on R

Juraj Húska, P. Polácik, Juraj Húska, 2022 .

The Principal Floquet Bundle and Exponential Separation for Linear Parabolic Equations

P. Polácik, Juraj Húska, 2004 .

Estimates of Solutions and Asymptotic Symmetry for Parabolic Equations on Bounded Domains

P. Polácik, 2006 .

Realization of any finite jet in a scalar semilinear parabolic equation on the ball in R 3

P. Polácik, S. Superiore, 2018 .

Gradient-like structure and Morse decompositions for time-periodic one-dimensional parabolic equations

P. Polácik, Xu-Yan Chen, 1995 .

Morse indices and bifurcations of positive solutions of Δu + f(u) = 0 on RN

P. Polácik, 2001 .

CONVERGENCE TO EQUILIBRIUM FOR SEMILINEAR PARABOLIC PROBLEMS IN

M. Jendoubi, J. Busca, P. Polácik, 2002 .

Existence of unstable sets for invariant sets in compact semiflows. Applications in order-preserving semiflows

P. Polácik, 1990 .

Zeros of complex caloric functions and singularities of complex viscous Burgers equation

P. Polácik, V. Sverák, 2006, math/0612506.

On the multiplicity of nonnegative solutions with a nontrivial nodal set for elliptic equations on symmetric domains

P. Polácik, 2013 .

Positivity and symmetry of nonnegative solutions of semilinear elliptic equations on planar domains

P. Polácik, 2012 .

Nonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domains

S. Terracini, P. Polácik, 2012, 1205.1213.

Immediate Regularization after Blow-up

Hiroshi Matano, Peter Polácik, Marek Fila, 2005, SIAM J. Math. Anal..

On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry

P. Polácik, J. Földes, 2009 .

Nonconvergent Bounded Trajectories in Semilinear Heat Equations

P. Polácik, K. P. Rybakowski, 1996 .

Existence of quasiperiodic solutions of elliptic equations on the entire space with a quadratic nonlinearity

P. Polácik, Darío A. Valdebenito, 2020, Discrete & Continuous Dynamical Systems - S.

Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations

P. Polácik, 2002 .

Non-stabilizing solutions of semilinear hyperbolic and elliptic equations with damping

Mohamed Ali Jendoubi, M. Jendoubi, P. Polácik, 2003, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Nonconvergent bounded solutions of semilinear heat equations on arbitrary domains

P. Polácik, F. Simondon, 2002 .

Stable periodic solutions of a spatially homogeneous nonlocal reaction–diffusion equation

P. Polácik, Vladimir Šošovička, 1996, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Further results on quasiperiodic partially localized solutions of homogeneous elliptic equations on RN P. Polácik, Darío A. Valdebenito, 2022, Journal of Functional Analysis.

Asymptotic behavior of solutions of semilinear elliptic equations on an unbounded strip.

P. Brunovský, P. Polácik, J. Solà-Morales, 1991 .

A Liouville property and quasiconvergence for a semilinear heat equation

E. Yanagida, P. Polácik, 2005 .

Singularity and decay estimates in superlinear problems via liouville-type theorems. Part II: Parabolic equations

P. Polácik, P. Souplet, P. Quittner, 2007 .

Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations

T. Bartsch, P. Polácik, P. Quittner, 2011 .

A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation

P. Polácik, P. Quittner, 2006 .

Asymptotic behavior of threshold and sub-threshold solutions of a semilinear heat equation

Peter Polácik, Pavol Quittner, P. Polácik, 2008, Asymptot. Anal..

Entire solutions and a Liouville theorem for a class of parabolic equations on the real line

P. Polácik, 2020 .

Liouville Type Theorems and Complete Blow-up for Indefinite Superlinear Parabolic Equations

P. Polácik, P. Quittner, 2005 .

Symmetry properties of positive solutions of parabolic equations: A survey

P. Polácik, 2009 .

Localized Solutions of a Semilinear Parabolic Equation with a Recurrent Nonstationary Asymptotics

Peter Polácik, Eiji Yanagida, E. Yanagida, 2014, SIAM J. Math. Anal..

Nonexistence of radial time-periodic solutions of reaction-diffusion equations with generic nonlinearities

P. Polácik, 2023, Journal of Differential Equations.

Global solutions of a semilinear parabolic equation

M. Fila, P. Polácik, 1999, Advances in Differential Equations.

Nonstabilizing solutions and grow-up set for a supercritical semilinear diffusion equation

E. Yanagida, P. Polácik, 2004, Differential and Integral Equations.

Realization of vector fields and dynamics of spatially homogeneous parabolic equations

E. N. Dancer, P. Polácik, Peter Poláčik, 1999 .

Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball.

P. Polácik, Xu-Yan Chen, 1996 .

Symmetry Properties of Positive Solutions of Parabolic Equations on ℝ N : I. Asymptotic Symmetry for the Cauchy Problem

P. Polácik, 2005 .

Global unbounded solutions of the Fujita equation in the intermediate range

E. Yanagida, P. Polácik, 2014 .

Global unbounded solutions of the Fujita equation in the intermediate range

E. Yanagida, P. Polácik, 2014, Mathematische Annalen.

Convergence of Anisotropically Decaying Solutions of a Supercritical Semilinear Heat Equation

E. Yanagida, P. Polácik, 2009 .

Loops and branches of coexistence states in a Lotka-Volterra competition model

Yuan Lou, Salomé Martínez, Y. Lou, 2006 .

On symmetry of nonnegative solutions of elliptic equations

P. Polácik, 2012 .

Symmetry and convergence properties for non-negative solutions of nonautonomous reaction–diffusion problems

P. Hess, P. Polácik, 1994, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

High-Dimensional ω-Limit Sets and Chaos in Scalar Parabolic Equations

P. Polácik, 1995 .

Equilibria with a nontrivial nodal set and the dynamics of parabolic equations on symmetric domains

P. Polácik, J. Földes, 2013 .

On asymptotically symmetric parabolic equations

Peter Polácik, Juraj Földes, P. Polácik, 2012, Networks Heterog. Media.

Examples of bounded solutions with nonstationary limit profiles for semilinear heat equations on $${\mathbb{R}}$$R

P. Polácik, 2015 .

Monotonicity of stable solutions in shadow systems

W. Ni, E. Yanagida, P. Polácik, 2001 .

Existence of Stable Subharmonic Solutions for Reaction-Diffusion Equations

E. Yanagida, P. Polácik, 2001 .

Group actions on strongly monotone dynamical systems

P. Polácik, J. Mierczynski, 1989 .

Generic hyperbolicity for reaction diffusion equations on symmetric domains

P. Brunovský, P. Polácik, 1987 .

Exponential Separation and Principal Floquet Bundles for Linear Parabolic Equations on R

P. Polácik, N. J. Húska, 2022 .