Initial evolution of supports of solutions of quasilinear parabolic equations with degenerate absorption potential

DOI10.1070/SM2013v204n03ABEH004305zbMath1272.35127OpenAlexW1985770685MaRDI QIDQ2841115

K. V. Stepanova, Andrey E. Shishkov

Publication date: 24 July 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2013v204n03abeh004305

zbMATH Keywords

energy methodpropagation of supports of solutionsstrong localization of solutionsweak localization of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)

Related Items (1)

The problem of diffusion wave initiation for a nonlinear second-order parabolic system

Cites Work

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• The balance between diffusion and absorption in semilinear parabolic equations
• Quasilinear elliptic-parabolic differential equations
• The support shrinking properties for solutions of quasilinear parabolic equations with strong absorption terms
• Instantaneous shrinking of the support of energy solutions
• Long-time extinction of solutions of some semilinear parabolic equations
• 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
• On the initial jump of the free boundary in a boundary-value problem for the semilinear heat conduction equation with absorption
• Dead cores and instantaneous compactification of the supports of energy solutions of quasilinear parabolic equations of arbitrary order

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