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Solutions entropiques de problèmes non linéaires dégénerés

Carrillo Menéndez, José (1998) Solutions entropiques de problèmes non linéaires dégénerés. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 327 (2). pp. 155-160. ISSN 0764-4442

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Abstract

We consider a class of elliptic-hyperbolic degenerate equations g(u) - Delta b(u) + div phi(u) = f With Dirichlet homogeneous boundary conditions, and a class of elliptic-parabolic-hyperbolic degenerate equations g(u)(t) - Delta b(u) + div phi(u) = f with homogeneous Dirichlet conditions and initial conditions. The existence and uniqueness of entropy solutions for both problems are proved for nondecreasing continuous functions g and b vanishing at zero, and for continuous vectorial function satisfying rather general conditions.


Item Type:Article
Additional Information:

Contiene una versión abreviada del artículo original publicado en Arch. Rational Mech. Anal. 147 (1999) 269-361

Uncontrolled Keywords:Parabolic equations
Subjects:Sciences > Mathematics > Differential equations
ID Code:15596
References:

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