Asymptotic properties of a semilinear heat equation with strong absorption and small diffusion

DOI10.1007/BF01444558zbMath0702.35013MaRDI QIDQ914947

J. J. L. Velázques, Miguel Angel Herrero

Publication date: 1991

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164760

zbMATH Keywords

convergencesemilinear heat equationCauchy problemsstrong absorptionextinction timessmall diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

• Unnamed Item
• Thermal waves in an absorbing and convecting medium
• Extinction properties of semilinear heat equations with strong absorption
• Thermal waves in absorbing media
• The blow-up time for higher order semilinear parabolic equations with small leading coefficients
• Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities
• Schrödinger operators with singular potentials
• The form of blow-up for nonlinear parabolic equations
• The Free Boundary of a Semilinear Elliptic Equation
• On the Dynamics of a Semilinear Heat Equation with Strong Absorption
• Short time behaviour of a singular solution to the heat equation with absorption
• The Blow-Up Time for Solutions of Nonlinear Heat Equations with Small Diffusion

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