Asymptotic behavior of solutions of quasilinear parabolic equations with supercritical nonlinearity

DOI10.1016/S0022-0396(02)00086-4zbMath1030.35108OpenAlexW2168974951MaRDI QIDQ1874488

Ryuichi Suzuki

Publication date: 25 May 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00086-4

zbMATH Keywords

blow-upintersection numberslow decayclassification of blow up types

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15)

Related Items (7)

Non-existence of nonnegative separate variable solutions to a porous medium equation with spatially dependent nonlinear source ⋮ Dynamics of degenerate quasilinear reaction diffusion systems with nonnegative initial functions ⋮ Optimal existence, uniqueness and blow-up for a quasilinear diffusion equation with spatially inhomogeneous reaction ⋮ Quasilinear parabolic and elliptic systems with mixed quasimonotone functions ⋮ Complicated asymptotic behavior of solutions for a porous medium equation with nonlinear sources ⋮ Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition ⋮ Large time behavior of ODE type solutions to nonlinear diffusion equations

Cites Work

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• Large time behaviour of solutions of the porous media equation with absorption
• On the growing problem for semilinear heat equations
• Movement of hot spots over unbounded domains in \({\mathbb{R}}^ N\)
• Critical exponent and critical blow-up for quasilinear parabolic equations
• On the behavior of solutions for a semilinear parabolic equation with supercritical nonlinearity
• Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations
• Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity
• Non-negative solutions of theo porous medium eqation
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Positivity versus localization in degenerate diffusion equations
• The zero set of a solution of a parabolic equation.
• Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
• Blow-up for quasilinear heat equations with critical Fujita's exponents
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions
• Complete blow-up for quasilinear degenerate parabolic equations
• On nonexistence of global solutions of some semilinear parabolic differential equations

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