The support shrinking properties for solutions of quasilinear parabolic equations with strong absorption terms

DOI10.5802/afst.790zbMath0838.35064OpenAlexW2047778595MaRDI QIDQ1903535

Sergei I. Shmarev, Stanislav N. Antontsev, Jesús Ildefonso Díaz

Publication date: 30 May 1996

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1995_6_4_1_5_0

zbMATH Keywords

dead coresdifferential inequalitiessupport shrinking

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35)

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Cites Work

• Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
• On a solution of degenerate elliptic-parabolic systems in Orlicz-Sobolev spaces. I, II
• Quasilinear elliptic-parabolic differential equations
• Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities
• The characterization of reaction-convection-diffusion processes by travelling waves
• Nonlinear Heat Conduction with Absorption: Space Localization and Extinction in Finite Time
• The Formation of the Dead Core in Parabolic Reaction-Diffusion Problems
• Local Vanishing Properties of Solutions of Elliptic and Parabolic Quasilinear Equations
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• Extinction for a quasilinear heat equation with absorption ii. a dynamical systems approach
• On a Nonlinear Parabolic Problem Arising in Some Models Related to Turbulent Flows
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