Cauchy problem of some doubly degenerate parabolic equations with initial datum a measure

DOI10.1007/s10114-004-0375-6zbMath1073.35130OpenAlexW2016611786MaRDI QIDQ705101

Huijun Fan

Publication date: 25 January 2005

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0375-6

zbMATH Keywords

Cauchy problemdegenerate parabolic equationmeasure datanonnegative bounded Radon measure

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for second-order parabolic equations (35K15)

Related Items (14)

The well-posedness of the solutions based on the \(L^1\) initial value condition ⋮ LOCALIZATION OF SOLUTIONS TO A DOUBLY DEGENERATE PARABOLIC EQUATION WITH A STRONGLY NONLINEAR SOURCE ⋮ Solution to nonlinear parabolic equations related to \(P\)-Laplacian ⋮ The Cauchy problem for a nonlinear degenerate parabolic system in non-divergence form ⋮ Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source ⋮ COMPLETE BLOW-UP AND ESTIMATE ON THE LOCALIZATION FOR A QUASILINEAR PARABOLIC EQUATION WITH NONLINEAR SOURCE ⋮ On the solvability of the Cauchy problem with growing initial data for a class of anisotropic parabolic equations ⋮ Fujita-type theorems for doubly degenerate parabolic equations with a time-weighted source ⋮ On the stability of a non-Newtonian polytropic filtration equation ⋮ On the phenomenon of the support shrinking of a solution with a time delay and on the extinction of the solution ⋮ Global solvability for quasilinear parabolic equation with inhomogeneous density and a source ⋮ Unnamed Item ⋮ Fundamental solution of the anisotropic porous medium equation ⋮ On a weak solution matching up with the double degenerate parabolic equation

Cites Work

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• Hölder estimates for quasilinear doubly degenerate parabolic equations
• On solutions of some doubly nonlinear degenerate parabolic equations with absorption
• Homogeneous diffusion in \({\mathbb{R}}\) with power-like nonlinear diffusivity
• Degenerate parabolic equations with general nonlinearities
• On the equation of turbulent filtration in one- dimensional porous media

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