Bounds for solutions of the Cauchy problem for an anisotropic degenerate doubly nonlinear parabolic equation with growing initial data

DOI10.1134/S1064562407060063zbMath1160.35454MaRDI QIDQ957803

Anatolii F. Tedeev, Sergey P. Degtyarev

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

anisotropic Sobolev spacesglobal propertieslocal properties

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Liouville property for solutions of the linearized degenerate thin film equation of fourth order in a halfspace ⋮ Anisotropic \(p\)-Laplacian evolution of fast diffusion type

Cites Work

• Degenerate parabolic equations
• Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
• Universal bounds at the blow-up time for nonlinear parabolic equations
• Boundedness of Solutions of Parabolic Equations With Anisotropic Growth Conditions
• On the Existence of Solutions of the Cauchy Problem for a Doubly Nonlinear Parabolic Equation
• Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity

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