Stability of non-isolated asymptotic profiles for fast diffusion

DOI10.1007/s00220-016-2649-0zbMath1386.35170arXiv1507.00795OpenAlexW3101436144MaRDI QIDQ2630730

Goro Akagi

Publication date: 21 July 2016

Published in: Communications in Mathematical Physics, Geometric Properties for Parabolic and Elliptic PDE's (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00795

zbMATH Keywords

annulussymmetric domains

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Singular parabolic equations (35K67) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear parabolic equations (35K59)

Related Items (9)

Stability of non-isolated asymptotic profiles for fast diffusion ⋮ Singular extinction profiles of solutions to some fast diffusion equations ⋮ Asymptotic behaviour of blow-up solutions of the fast diffusion equation ⋮ Asymptotics near extinction for nonlinear fast diffusion on a bounded domain ⋮ The Cauchy-Dirichlet problem for singular nonlocal diffusions on bounded domains ⋮ The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains ⋮ Rates of convergence to non-degenerate asymptotic profiles for fast diffusion via energy methods ⋮ Stability of the separable solutions for a nonlinear boundary diffusion problem ⋮ An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis

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