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.

- 2 Similar Profiles

Parabolic Equation
Mathematics

Reaction-diffusion Equations
Mathematics

Semilinear Heat Equation
Mathematics

Semilinear Parabolic Equation
Mathematics

Omega Limit Set
Mathematics

Bounded Solutions
Mathematics

Nonnegative Solution
Mathematics

Positive Solution
Mathematics

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## Projects 2008 2019

Nonlinear Elliptic Equations

Nonlinear Parabolic Equations

Nonlinear Elliptic Equations

Nonlinear Parabolic Equations

## Research Output 1987 2018

## Large-time behavior of solutions of parabolic equations on the real line with convergent initial data

Pauthier, A. A. & Polacik, P., Aug 7 2018, In : Nonlinearity. 31, 9, p. 4423-4441 19 p.Research output: Contribution to journal › Article

Large Time Behavior

Behavior of Solutions

Real Line

Parabolic Equation

Locally Lipschitz Function

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

Matano, H. & Polacik, 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

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

Polacik, P., Jan 1 2017,*Patterns of Dynamics - In Honour of Bernold Fiedler’s 60th Birthday.*Gurevich, P., Hell, J., Scheel, A. & Sandstede, B. (eds.). Springer New York LLC, Vol. 205. p. 172-183 12 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Real Line

Parabolic Equation

Omega Limit Set

Semilinear Parabolic Equation

Large Time Behavior

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

Polacik, 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

Polacik, 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