Local and global estimates of the solutions of the Cauchy problem for quasilinear parabolic equations with a nonlinear operator of Baouendi-Grushin type

DOI10.1134/S0001434609030092zbMath1182.35146OpenAlexW2086056391MaRDI QIDQ1033939

V. A. Markasheva, Anatolii F. Tedeev

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609030092

zbMATH Keywords

quasilinear parabolic equationYoung's inequalitylocal and global estiamtes of the solutionmaximum principle Carnot-Carathéodory space

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

Related Items (2)

Strong solutions to a strongly degenerate semilinear parabolic equation ⋮ Global attractor for a semilinear strongly degenerate parabolic equation on \(\mathbb R^N\)

Cites Work

• Unnamed Item
• Universal bounds at the blow-up time for nonlinear parabolic equations
• On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
• Local Vanishing Properties of Solutions of Elliptic and Parabolic Quasilinear Equations
• Sur une classe d'opérateurs elliptiques dégénérés
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity
• Sharp estimates and finite speed of propagation for a Neumann problem in domains narrowing at infinity

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