Degenerate parabolic initial-boundary value problems

DOI10.1016/S0022-0396(79)80002-9zbMath0416.35038MaRDI QIDQ754382

Ralph E. Showalter

Publication date: 1979

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

zbMATH Keywords

Cauchy problemdiffusion equationsingular coefficientselliptic-parabolic equationdegenerate parabolic initial-boundary value problemselliptic-parabolic constraintsimplicit linear evolution equationsparabolic-pseudoparabolic equation

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

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Cites Work

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• The sobolev equation, II
• On some degenerate parabolic equations II
• Sur une classe d'opérateurs elliptiques dégénérés
• On Diffusion in a Fractured Medium