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

Bounded Solutions
Mathematics

Nonnegative Solution
Mathematics

Positive Solution
Mathematics

Liouville Type Theorem
Mathematics

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## Projects 2008 2022

## Qualitative properties of solutions of nonlinear elliptic and parabolic equations

7/15/19 → 6/30/22

Project: Research project

Nonlinear Elliptic Equations

Nonlinear Parabolic Equations

Qualitative Properties

Nonlinear Elliptic Equations

Nonlinear Parabolic Equations

Nonlinear Elliptic Equations

Nonlinear Parabolic Equations

## Research Output 1987 2020

## On the multiplicity of self-similar solutions of the semilinear heat equation

Poláčik, P. & Quittner, P., Feb 2020, In : Nonlinear Analysis, Theory, Methods and Applications. 191, 111639.Research output: Contribution to journal › Article

Semilinear Heat Equation

Self-similar Solutions

Multiplicity

Positive Radial Solutions

Parabolic Equation

1
Citation
(Scopus)

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

Pauthier, A. & Poláčik, 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

## Some generic properties of Schrödinger operators with radial potentials

Polacik, P. & Valdebenito, D. A., Jan 1 2018, (Accepted/In press) In : Proceedings of the Royal Society of Edinburgh Section A: Mathematics. p. 1-17 17 p.Research output: Contribution to journal › Article

Generic Property

Essential Spectrum

Eigenvalue

Operator

Residual Set

1
Citation
(Scopus)

## 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

3
Citations
(Scopus)

## 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, p. 172-183 12 p. (Springer Proceedings in Mathematics and Statistics; vol. 205).

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

Real Line

Parabolic Equation

Limit Set

Semilinear Parabolic Equation

Large Time Behavior