Asymptotic method of moving planes for fractional parabolic equations

DOI10.1016/j.aim.2020.107463zbMath1455.35281arXiv2006.14094OpenAlexW3096009767MaRDI QIDQ2217527

Wenxiong Chen, Yunyun Hu, Pengyan Wang, Yahui Niu

Publication date: 30 December 2020

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

Full work available at URL: https://arxiv.org/abs/2006.14094

zbMATH Keywords

asymptotic symmetrysub-solutionsasymptotic maximum principles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Related Items

Ancient solutions to nonlocal parabolic equations ⋮ Monotonicity and uniqueness of positive solutions to elliptic fractional \(p\)-equations ⋮ Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations ⋮ Qualitative properties of solutions for dual fractional nonlinear parabolic equations ⋮ Monotonicity of solutions for weighted fractional parabolic equations on the upper half space ⋮ Nonexistence of solutions to fractional parabolic problem with general nonlinearities ⋮ Asymptotic monotonicity of positive solutions for fractional parabolic equation on the right half space ⋮ The radial symmetry of positive solutions for semilinear problems involving weighted fractional Laplacians ⋮ 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 ⋮ Asymptotic symmetry and monotonicity of solutions for weighted fractional parabolic equations ⋮ Monotonicity results for fractional parabolic equations in the whole space ⋮ SYMMETRY AND MONOTONICITY OF SOLUTIONS TO FRACTIONAL ELLIPTIC AND PARABOLIC EQUATIONS ⋮ Nonexistence of solutions for indefinite fractional parabolic equations ⋮ Liouville theorems for fractional parabolic equations ⋮ Hopf's lemmas for parabolic fractional \(p\)-Laplacians ⋮ Asymptotic radial solution of parabolic tempered fractional Laplacian problem ⋮ Radial symmetry and Hopf lemma for fully nonlinear parabolic equations involving the fractional Laplacian

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