Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods

DOI10.1007/s00205-023-01843-2OpenAlexW4318619770MaRDI QIDQ2690136

Goro Akagi

Publication date: 15 March 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.03960

zbMATH Keywords

exponential stability of sign-changing asymptotic profiles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)

Related Items (7)

Bubbling and extinction for some fast diffusion equations in bounded domains ⋮ Asymptotic behaviour of blow-up solutions of the fast diffusion equation ⋮ Optimal regularity and fine asymptotics for the porous medium equation in bounded domains ⋮ Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion ⋮ Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights ⋮ The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains ⋮ Stability of the separable solutions for a nonlinear boundary diffusion problem

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