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Carrillo Menéndez, José (1999) Entropy solutions for nonlinear degenerate problems. Archive for rational mechanics and analysis, 147 (4). pp. 269-361. ISSN 0003-9527
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Official URL: http://www.springerlink.com/content/ejne9t55g06xmybb/fulltext.pdf
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. Existence of entropy solutions for both problems is proved for nondecreasing continuous functions g and b vanishing at zero and for a continuous vectorial function phi satisfying rather general conditions. Comparison and uniqueness of entropy solutions are proved for g and b continuous and nondecreasing and for phi continuous.
Item Type: | Article |
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Uncontrolled Keywords: | Parabolic equations; uniqueness |
Subjects: | Sciences > Mathematics > Differential equations |
ID Code: | 15594 |
Deposited On: | 12 Jun 2012 09:00 |
Last Modified: | 12 Dec 2018 15:07 |
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