Liouville theorems for fractional parabolic equations

DOI10.1515/ans-2021-2148zbMath1476.35072arXiv2108.02075OpenAlexW3205646040WikidataQ113741295 ScholiaQ113741295MaRDI QIDQ2240575

Wenxiong Chen, Leyun Wu

Publication date: 4 November 2021

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02075

zbMATH Keywords

monotonicityLiouville type theoremsnonexistence of solutionsmaximum principle for antisymmetric functionsnarrow region principles

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11) Entire solutions to PDEs (35B08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (11)

Ancient solutions to nonlocal parabolic equations ⋮ Qualitative properties of solutions for dual fractional nonlinear parabolic equations ⋮ Integral inequalities with an extended Poisson kernel and the existence of the extremals ⋮ Monotonicity of solutions for weighted fractional parabolic equations on the upper half space ⋮ Asymptotic monotonicity of positive solutions for fractional parabolic equation on the right half space ⋮ Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces ⋮ Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator ⋮ Monotonicity and one-dimensional symmetry of solutions for fractional reaction-diffusion equations and various applications of sliding methods ⋮ Monotonicity results for fractional parabolic equations in the whole space ⋮ Nonexistence of solutions for indefinite fractional parabolic equations ⋮ Hopf's lemmas for parabolic fractional \(p\)-Laplacians

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