Existence, uniqueness and asymptotic behavior of solutions for a singular parabolic equation

DOI10.1016/j.jmaa.2009.04.039zbMath1172.35421OpenAlexW2026832363MaRDI QIDQ1029141

Li Xia, Zheng-An Yao

Publication date: 9 July 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.039

zbMATH Keywords

blowupzero Dirichlet boundary conditionparabolic regularizationsub-supersolutions method

Mathematics Subject Classification ID

Related Items (9)

Asymptotic behavior and existence of solutions for singular elliptic equations ⋮ Existence of solutions for degenerate parabolic equations with singular terms ⋮ Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms ⋮ Existence of the maximal weak solution for a class of singular parabolic equations ⋮ Large time behavior of solutions for the porous medium equation with a nonlinear gradient source ⋮ A one-dimensional nonlinear heat equation with a singular term ⋮ Bounded solutions to a singular parabolic system ⋮ Some results on a singular parabolic equation in one dimension case ⋮ Waiting time phenomena for the porous medium equation with gradient absorption

Cites Work

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• On the regularity of the blow-up set for semilinear heat equations
• Nonlinear elliptic equations with singular boundary conditions
• A remark on the existence of explosive solutions for a class of semilinear elliptic equations
• The profile near blowup time for solutions of diffusion systems coupled with localized nonlinear reactions
• Domain of existence and blowup for the exponential reaction-diffusion equation
• Existence and asymptotic behavior for a singular parabolic equation
• Further study on a nonlinear heat equation

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