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Degenerate triply nonlinear problems with nonhomogeneous boundary conditions

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Ammar K.

Open Mathematics

2010

tom 8

nr 3

548-568

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.

Ograniczanie wyników

1 Open Mathematics

1 Ammar K.

1 2010

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Degenerate triply nonlinear problems with nonhomogeneous boundary conditions