Method of energy estimates for the study of a behavior of weak solutions of the equation of slow diffusion with singular boundary data

DOI10.1007/S10958-019-04606-1zbMath1436.35224OpenAlexW2991187798MaRDI QIDQ2300947

Yevgeniia A. Yevgenieva, Andrey E. Shishkov

Publication date: 28 February 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04606-1

zbMATH Keywords

weak solutionsquasilinear parabolic equationssingular boundary datamethod of energy estimatesequation of porous medium

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Weak solutions to PDEs (35D30)

Related Items (1)

Behavior of blow-up solutions for quasilinear parabolic equations

Cites Work

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• Limiting profile of solutions of quasilinear parabolic equations with flat peaking
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• Self-similar boundary blow-up for higher-order quasilinear parabolic equations
• Saint-Venant's principle in blow-up for higher-order quasilinear parabolic equations
• Blow-up boundary regimes for general quasilinear parabolic equations in multidimensional domains
• Localized peaking regimes for quasilinear parabolic equations
• HIGHER-ORDER QUASILINEAR PARABOLIC EQUATIONS WITH SINGULAR INITIAL DATA

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