A necessary condition for the instantaneous shrinking property of solutions to a semilinear heat equation

DOI10.4171/ZAA/1417zbMath1206.35149MaRDI QIDQ606470

Jingjun Zhang

Publication date: 17 November 2010

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

strong absorptionshrinking of the support

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51)

Cites Work

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• Extinction properties of semilinear heat equations with strong absorption
• The nonlinear heat equation with absorption: Effects of variable coefficients
• Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities
• Instantaneous shrinking of the support for solutions to certain parabolic equations and systems
• Qualitative properties for solutions of semilinear heat equations with strong absorption
• Instantaneous shrinking of the support of energy solutions
• Degenerate parabolic equations with general nonlinearities
• Extinction for a quasilinear heat equation with absorprtion i. technique of intersection comparison
• Extinction for a quasilinear heat equation with absorption ii. a dynamical systems approach
• Instantaneous shrinking of the support of solutions to certain parabolic equations with unbounded initial data

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