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Sur une classe de problèmes d’évolution non linéaires et dégénérés. (On a class of nonlinear and degenerate evolution problems). (French) Zbl 0602.35055

Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1984, Conf. No. 2, 12 p. (1984).
The present report is a summary of properties, in part established by the author himself jointly with D. Phillips, regarding a class of quasilinear parabolic equations of the second order which generalize the well-known porous media equation. The author displays results concerning existence, comparison, uniqueness, a priori bounds, large-time behaviour. Examples are provided.
Reviewer: P.de Mottoni

MSC:

35K55 Nonlinear parabolic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B45 A priori estimates in context of PDEs
Full Text: Numdam