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Degenerate triply nonlinear problems with nonhomogeneous boundary conditions

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Central European Journal of Mathematics

Abstract

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.

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  1. Institut für Mathematik, TU Berlin, Berlin, Germany

    Kaouther Ammar

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  1. Kaouther Ammar
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Ammar, K. Degenerate triply nonlinear problems with nonhomogeneous boundary conditions. centr.eur.j.math. 8, 548–568 (2010). https://doi.org/10.2478/s11533-010-0032-5

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  • DOI: https://doi.org/10.2478/s11533-010-0032-5

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