Degenerate triply nonlinear problems with nonhomogeneous boundary conditions

• Autorzy: Kaouther Ammar
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Entropy solution; degenerate; Nonhomogenous boundary conditions; Diffusion; Continuous flux

Kategorie tematyczne

• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35J70: Degenerate elliptic equations
• 35B30: Dependence of solutions on initial and boundary data, parameters
• 35K55: Nonlinear parabolic equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 3
• Strony: 548-568

Daty

wydano

2010-06-01

online

2010-05-30

Twórcy

autor

Kaouther Ammar

• TU Berlin

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0032-5