Degenerate triply nonlinear problems with nonhomogeneous boundary conditions |
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Authors: | Kaouther Ammar |
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Institution: | 1.Institut für Mathematik,TU Berlin,Berlin,Germany |
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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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Keywords: | |
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