Degenerate triply nonlinear problems with nonhomogeneous boundary conditions

Kaouther Ammar

Open Mathematics (2010)

  • Volume: 8, Issue: 3, page 548-568
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Kaouther Ammar. "Degenerate triply nonlinear problems with nonhomogeneous boundary conditions." Open Mathematics 8.3 (2010): 548-568. <http://eudml.org/doc/269088>.

@article{KaoutherAmmar2010,
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.},
author = {Kaouther Ammar},
journal = {Open Mathematics},
keywords = {Entropy solution; degenerate; Nonhomogenous boundary conditions; Diffusion; Continuous flux; entropy solution; nonhomogeneous boundary conditions; diffusion; continuous flux},
language = {eng},
number = {3},
pages = {548-568},
title = {Degenerate triply nonlinear problems with nonhomogeneous boundary conditions},
url = {http://eudml.org/doc/269088},
volume = {8},
year = {2010},
}

TY - JOUR
AU - Kaouther Ammar
TI - Degenerate triply nonlinear problems with nonhomogeneous boundary conditions
JO - Open Mathematics
PY - 2010
VL - 8
IS - 3
SP - 548
EP - 568
AB - 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.
LA - eng
KW - Entropy solution; degenerate; Nonhomogenous boundary conditions; Diffusion; Continuous flux; entropy solution; nonhomogeneous boundary conditions; diffusion; continuous flux
UR - http://eudml.org/doc/269088
ER -

References

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