Projects per year

## Fingerprint The Fingerprint is created by mining the titles and abstracts of the person's research outputs and projects/funding awards to create an index of weighted terms from discipline-specific thesauri.

- 1 Similar Profiles

Parabolic Equation
Mathematics

Reaction-diffusion Equations
Mathematics

Semilinear Heat Equation
Mathematics

Semilinear Parabolic Equation
Mathematics

Nonnegative Solution
Mathematics

Omega Limit Set
Mathematics

Positive Solution
Mathematics

Bounded Solutions
Mathematics

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## Projects 2008 2019

Nonlinear Elliptic Equations

Nonlinear Parabolic Equations

Nonlinear Elliptic Equations

Nonlinear Parabolic Equations

## Research Output 1987 2017

## An entire solution of a bistable parabolic equation on R with two colliding pulses

Matano, H. & Poláčik, P. Mar 1 2017 In : Journal of Functional Analysis. 272, 5, p. 1956-1979 24 p.Research output: Contribution to journal › Article

Entire Solution

Parabolic Equation

Heteroclinic Orbit

Semilinear Parabolic Equation

Uniform convergence

## Existence of quasiperiodic solutions of elliptic equations on R^{N+1} via center manifold and KAM theorems

Poláčik, P. & Valdebenito, D. A. Jun 15 2017 In : Journal of Differential Equations. 262, 12, p. 6109-6164 56 p.Research output: Contribution to journal › Article

KAM Theorem

Center Manifold Theorem

Quasi-periodic Solutions

Elliptic Equations

Center Manifold Reduction

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

Poláčik, P. Mar 1 2017 In : Journal of Fixed Point Theory and Applications. 19, 1, p. 113-128 16 p.Research output: Contribution to journal › Article

Attractivity

Semilinear Elliptic Equations

Parabolic Problems

Symmetry

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

Poláčik, P. Jan 1 2017 In : Progress in Nonlinear Differential Equations and Their Application. 86, p. 405-423 19 p.Research output: Contribution to journal › Article

Travelling Fronts

Reaction-diffusion Equations

Trajectories

Trajectory

Semilinear Parabolic Equation

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

Matano, H. & Poláčik, P. May 3 2016 In : Communications in Partial Differential Equations. 41, 5, p. 785-811 27 p.Research output: Contribution to journal › Article

Nonnegative Solution

Reaction-diffusion Equations

Locally Lipschitz Function

Spaces of Continuous Functions

Large Time Behavior