Solutions with moving singularities for equations of porous medium type

DOI10.1016/j.na.2018.08.016zbMath1404.35270OpenAlexW2890857102MaRDI QIDQ1633689

Marek Fila, Eiji Yanagida, Jin Takahashi

Publication date: 20 December 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.08.016

zbMATH Keywords

porous mediumsingular solutionfast diffusionmoving singularity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular parabolic equations (35K67)

Related Items (5)

Solutions with snaking singularities for the fast diffusion equation ⋮ Moving singularities for nonlinear diffusion equations in two space dimensions ⋮ Lack of smoothing for bounded solutions of a semilinear parabolic equation ⋮ On the evolution equation with a dynamic Hardy-type potential ⋮ Infinite-time incompleteness of noncompact Yamabe flow

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