A degenerate diffusion problem not in divergence form

DOI10.1016/0022-0396(87)90099-4zbMath0688.35045OpenAlexW1988228554MaRDI QIDQ1263735

Roberta Dal Passo, Stephan Luckhaus

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90099-4

zbMATH Keywords

nonnegative weak solutionnonuniquenessstrongly degenerateunique maximal solutionnonexpanding support

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65)

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Cites Work

• Persistence and extinction in single-species reaction-diffusion models
• Quasilinear elliptic-parabolic differential equations
• Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\)
• A degenerate parabolic equation modelling the spread of an epidemic
• Stabilization of solutions of a degenerate nonlinear diffusion problem