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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Official URL: http://www.sciencedirect.com/science/article/pii/S0764444298800098
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 |
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| Deposited On: | 12 Jun 2012 11:42 |
| Last Modified: | 08 May 2013 18:42 |
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