On the Dynamics of a Semilinear Heat Equation with Strong Absorption

DOI10.1080/03605308908820672zbMath0697.35019OpenAlexW1989006136MaRDI QIDQ3473452

Juan J. L. Velazquez, Miguel Angel Herrero

Publication date: 1989

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308908820672

zbMATH Keywords

Cauchy problemdead coressemilinear heat equation

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)

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Cites Work

• Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
• Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
• Extinction properties of semilinear heat equations with strong absorption
• Thermal waves in absorbing media
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• The propagation of disturbances in problems of non-linear heat conduction with absorption
• On the mean value of the fundamental mode in the fixed membrane problem