Blow-up for the porous media equation with source term and positive initial energy

DOI10.1006/jmaa.2000.6847zbMath0953.35075OpenAlexW2028587117MaRDI QIDQ1576975

Enzo Vitillaro

Publication date: 15 January 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6847

zbMATH Keywords

Cauchy-Dirichlet problemnonlinear heat-conduction coefficientpositive energy regionpropagation of thermal perturbations

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65)

Related Items (2)

Blow-up for the wave equation with nonlinear source and boundary damping terms ⋮ Singular reaction diffusion equations of porous medium type

Cites Work

• Some existence and nonexistence theorems for solutions of degenerate parabolic equations
• Asymptotic stability and blowing up of solutions of some nonlinear equations
• Global nonexistence for abstract evolution equations with positive initial energy
• Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type
• Global nonexistence theorems for a class of evolution equations with dissipation
• Homogeneous diffusion in \({\mathbb{R}}\) with power-like nonlinear diffusivity
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Sur la résolution de certaines équations paraboliques non linéaires
• Absolute continuity on tracks and mappings of Sobolev spaces
• Existence and nonexistence of global solutions for nonlinear parabolic equations
• On solutions of a perturbed fast diffusion equation
• Critical points and nonlinear variational problems
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
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