Uniqueness and non-uniqueness of bounded solutions to singular nonlinear parabolic equations

DOI10.1016/j.na.2008.12.025zbMath1170.35463OpenAlexW2037701426MaRDI QIDQ1017737

Fabio Punzo

Publication date: 12 May 2009

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.2008.12.025

zbMATH Keywords

well-posednessnonlinear diffusionsingular parabolic problems

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65)

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Global existence and blow-up of solutions to the porous medium equation with reaction and singular coefficients ⋮ Uniqueness and support properties of solutions to singular quasilinear parabolic equations on surfaces of revolution ⋮ Dirichlet boundary conditions for degenerate and singular nonlinear parabolic equations ⋮ Conditions at infinity for the inhomogeneous filtration equation

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