Some PDEs problems in generalized Sobolev algebras
| Autor: | Séverine Bernard, Silvère Paul Nuiro |
|---|---|
| Přispěvatelé: | Analyse, Laboratoire de Mathématiques Informatique et Applications (LAMIA), Université des Antilles et de la Guyane (UAG)-Université des Antilles et de la Guyane (UAG) |
| Rok vydání: | 2012 |
| Předmět: |
Generalized function
Weak solution Applied Mathematics 010102 general mathematics Sobolev algebra singular spectrum Type (model theory) Non-positive solution 01 natural sciences 2000 MSC: 35J70 46F30 46E35 35D05 35B50 35A21 Sobolev inequality 010101 applied mathematics Algebra Sobolev space generalized solution non positive solution [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM] 0101 mathematics PDEs problem Analysis Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications Journal of Mathematical Analysis and Applications, Elsevier, 2012, 388, pp.647-658. ⟨10.1016/j.jmaa.2011.07.063⟩ |
| ISSN: | 0022-247X 1096-0813 |
| DOI: | 10.1016/j.jmaa.2011.07.063 |
| Popis: | International audience; The aim of this paper is to prove that the framework of generalized functions of Sobolev type is more suitable to pose and solve some PDEs problems with very irregular data, than the one introduced by J.-F. Colombeau, when ${\mathcal{C}}^{\infty}$ estimates are not available or out of reach. In such type of algebras, one shows the existence and some qualitative properties of solutions for problems appearing in the mathematical modelisation of oil activities. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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