1987 …2022
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  • 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

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 journalArticle

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 journalArticle

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 journalArticle

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 journalArticle

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 proceedingConference contribution

Real Line
Parabolic Equation
Limit Set
Semilinear Parabolic Equation
Large Time Behavior