On the first boundary value problem for quasilinear parabolic equations with two independent variables

DOI10.1007/s002050000074zbMath0962.35094OpenAlexW2161449100MaRDI QIDQ1570907

Alkis S. Tersenov

Publication date: 31 May 2001

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050000074

zbMATH Keywords

boundary gradient estimate

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) A priori estimates in context of PDEs (35B45)

Related Items (6)

The preventive effect of the convection and of the diffusion in the blow-up phenomenon for parabolic equations ⋮ Nonexistence of nontrivial solutions for a class of boundary value problems ⋮ Asymptotic periodic solutions of some generalized Burgers equations ⋮ A condition guaranteeing the absence of the blow-up phenomenon for the generalized Burgers equation ⋮ Boundary value problems for quasilinear ODEs ⋮ The Cauchy problem for a class of quasilinear parabolic equations

Cites Work

• Examples of parabolic problems with blowing-up derivatives
• On quasilinear non-uniformly parabolic equations in general form
• Derivative blow-up and beyond for quasilinear parabolic equations
• Interior derivative blow-up for quasilinear parabolic equations
• Interior gradient blow-up in a semilinear parabolic equation
• Behavior of solutions to nonlinear parabolic equations at large time
• On quasilinear non-uniformly elliptic equations in some non-convex domains
• Boundary value problems for strongly degenerate parabolic equations
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