Cauchy problem for doubly degenerate parabolic equation with gradient source

DOI10.1016/j.na.2014.10.006zbMath1304.35369OpenAlexW2008101508MaRDI QIDQ478306

Haifeng Shang, Jun-Xiang Cheng

Publication date: 3 December 2014

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.2014.10.006

zbMATH Keywords

local existenceoptimal assumptions on the initial data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (11)

The well-posedness of the solutions based on the \(L^1\) initial value condition ⋮ Cauchy problem for doubly singular parabolic equation with gradient source ⋮ Existence and regularity results for some nonlinear singular parabolic problems with absorption terms ⋮ On the existence and regularity of solutions to singular parabolic \(p\)-Laplacian equations with absorption term ⋮ Existence and stability of the doubly nonlinear anisotropic parabolic equation ⋮ The stability of the solutions of an anisotropic diffusion equation ⋮ Doubly degenerate parabolic equation with time-dependent gradient source and initial data measures ⋮ On the stability of a non-Newtonian polytropic filtration equation ⋮ On a degenerate parabolic equation with Newtonian fluid\(\sim\)non-Newtonian fluid mixed type ⋮ Unnamed Item ⋮ On a weak solution matching up with the double degenerate parabolic equation

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