Nonexistence of solutions for indefinite fractional parabolic equations

DOI10.1016/j.aim.2021.108018zbMath1476.35073arXiv2108.02345OpenAlexW3199811042MaRDI QIDQ2237396

Leyun Wu, Wenxiong Chen, Pengyan Wang

Publication date: 27 October 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02345

zbMATH Keywords

monotonicityLiouville theoremmethod of moving planesindefinite nonlinearityfractional parabolic equation

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (7)

Ancient solutions to nonlocal parabolic equations ⋮ Qualitative properties of solutions for dual fractional nonlinear parabolic equations ⋮ Nonexistence of solutions to fractional parabolic problem with general nonlinearities ⋮ Nonexistence of solutions for tempered fractional parabolic equations ⋮ 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 ⋮ Asymptotic radial solution of parabolic tempered fractional Laplacian problem

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