A NOTE ON WEIGHTED SOBOLEV SPACES RELATED TO WEAKLY AND STRONGLY DEGENERATE DIFFERENTIAL OPERATORS
| Autor: | Yue Wang, Guenter Leugering, Peter I. Kogut, Olha P. Kupenko |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Control and Optimization Applied Mathematics lcsh:Mathematics Degenerate energy levels Degenerate equation degenerate equation Weight coefficient Differential operator Special class lcsh:QA1-939 Sobolev space weighted sobolev spaces Modeling and Simulation Degeneracy (mathematics) Mathematical Physics Mathematics poincar´e’s inequality |
| Zdroj: | Journal of Optimization, Differential Equations and Their Applications, Vol 27, Iss 2, Pp 1-22 (2019) |
| ISSN: | 2663-6824 2617-0108 |
| Popis: | In this paper we discuss some issues related to Poincar´e’s inequality for a special class of weighted Sobolev spaces. A common feature of these spaces is that they can be naturally associated with differential operators with variable diffusion coefficients that are not uniformly elliptic. We give a classification of these spaces in the 1-D case bases on a measure of degeneracy of the corresponding weight coefficient and study their key properties. |
| Databáze: | OpenAIRE |
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