HIGHER-ORDER QUASILINEAR PARABOLIC EQUATIONS WITH SINGULAR INITIAL DATA

DOI10.1142/S0219199706002131zbMath1154.35374OpenAlexW2019977983MaRDI QIDQ5483472

Andrey E. Shishkov, Victor A. Galaktionov

Publication date: 14 August 2006

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199706002131

zbMATH Keywords

existencenonexistenceCauchy problemvery singular solutionsdiffusion equations with absorptioninitial Dirac mass

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65)

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Cites Work

• Propagation of perturbation in a singular Cauchy problem for degenerate quasilinear parabolic equations
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions
• Saint-Venant's principle in blow-up for higher-order quasilinear parabolic equations
• On very singular similarity solutions of a higher-order semilinear parabolic equation
• Dead cores and instantaneous compactification of the supports of energy solutions of quasilinear parabolic equations of arbitrary order
• On the necessary conditions of global existence to a quasilinear inequality in the half-space