Behaviors of solutions to a class of nonlinear degenerate parabolic equations not in divergence form

DOI10.1016/J.AML.2010.09.001zbMath1207.35198OpenAlexW1992015781MaRDI QIDQ609985

Jian Wang

Publication date: 1 December 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.09.001

zbMATH Keywords

weak solutiondecay estimatenon-divergence type

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear parabolic equations (35K59)

Related Items (3)

Nonexistence and longtime behaviors of solutions to a class of nonlinear degenerate parabolic equations not in divergence form ⋮ The Cauchy problem for a nonlinear degenerate parabolic system in non-divergence form ⋮ A doubly degenerate diffusion equation not in divergence form with gradient term

Cites Work

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• Persistence and extinction in single-species reaction-diffusion models
• Some results on a degenerate and singular diffusion equation
• Some results on a class of degenerate parabolic equations not in divergence form
• A nonlinear degenerate diffusion equation not in divergence form

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