Entropy solutions for nonlinear degenerate problems
| dc.contributor.author | Carrillo Menéndez, José | |
| dc.date.accessioned | 2023-06-20T16:53:35Z | |
| dc.date.available | 2023-06-20T16:53:35Z | |
| dc.date.issued | 1999 | |
| dc.description.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. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15594 | |
| dc.identifier.doi | 10.1007/s002050050152 | |
| dc.identifier.issn | 0003-9527 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/ejne9t55g06xmybb/fulltext.pdf | |
| dc.identifier.relatedurl | http://www.springerlink.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57350 | |
| dc.issue.number | 4 | |
| dc.journal.title | Archive for rational mechanics and analysis | |
| dc.language.iso | eng | |
| dc.page.final | 361 | |
| dc.page.initial | 269 | |
| dc.publisher | Springer | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.7 | |
| dc.subject.keyword | Parabolic equations | |
| dc.subject.keyword | uniqueness | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Entropy solutions for nonlinear degenerate problems | |
| dc.type | journal article | |
| dc.volume.number | 147 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 48ac980d-beb1-40b0-acec-caec3a109b1c | |
| relation.isAuthorOfPublication.latestForDiscovery | 48ac980d-beb1-40b0-acec-caec3a109b1c |
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