Asymptotic Expansions of Solutions of Fractional Diffusion Equations

DOI10.1137/16M1101428zbMath1372.35338arXiv1610.09789OpenAlexW2953003518MaRDI QIDQ5270346

Kazuhiro Ishige, Hironori Michihisa, Tatsuki Kawakami

Publication date: 23 June 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09789

zbMATH Keywords

asymptotic expansionsemilinear parabolic equationanomalous diffusionfractional diffusion equationhot spot

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Related Items (9)

Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations ⋮ Existence and convexity of solutions of the fractional heat equation ⋮ Weighted estimates and large time behavior of small amplitude solutions to the semilinear heat equation ⋮ Spatial-decay of solutions to the quasi-geostrophic equation with the critical and supercritical dissipation ⋮ Critical exponent for the global existence of solutions to a semilinear heat equation with degenerate coefficients ⋮ Large time behavior of ODE type solutions to a nonlinear parabolic system ⋮ \(L^2\) asymptotic profiles of solutions to linear damped wave equations ⋮ Large time behavior of ODE type solutions to nonlinear diffusion equations ⋮ Large time behavior of ODE type solutions to higher-order semilinear parabolic equations with small initial data

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