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

DOI10.1090/proc/14978zbMath1448.35304OpenAlexW2999729536WikidataQ126407039 ScholiaQ126407039MaRDI QIDQ5111510

Peter Poláčik

Publication date: 27 May 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14978

zbMATH Keywords

semilinear parabolic equationsentire solutionsLiouville theoremszero number

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (6)

Entire solutions with moving singularities for a semilinear heat equation with a critical exponent ⋮ Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. III: Unstable limit at infinity ⋮ Liouville theorems for superlinear parabolic problems with gradient structure ⋮ Universal estimates and Liouville theorems for superlinear problems without scale invariance ⋮ Spreading and Extinction of Solutions to the Logarithmic Diffusion Equation with a Logistic Reaction ⋮ Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. II: Equal limits at infinity

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