Degenerate triply nonlinear problems with nonhomogeneous boundary conditions

Kaouther Ammar

Open Mathematics, Tome 8 (2010), p. 548-568 / Harvested from The Polish Digital Mathematics Library

Résumé

The paper addresses the existence and uniqueness of entropy solutions for the degenerate triply nonlinear problem: b(v)t − div α(v, ▽g(v)) = f on Q:= (0, T) × Ω with the initial condition b(v(0, ·)) = b(v 0) on Ω and the nonhomogeneous boundary condition “v = u” on some part of the boundary (0, T) × ∂Ω”. The function g is continuous locally Lipschitz continuous and has a flat region [A 1, A 2,] with A 1 ≤ 0 ≤ A 2 so that the problem is of parabolic-hyperbolic type.

Détail

Publié le : 2010-01-01

Zbl 1203.35152

EUDML-ID : urn:eudml:doc:269088

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