| Autor: |
Miranda Fernando, Rodrigues José Francisco, Santos Lisa |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
|
| Zdroj: |
Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 250-277 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
2191-950X |
| DOI: |
10.1515/anona-2018-0113 |
| Popis: |
This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial derivatives of the solutions. The quasi-linear operators are of monotone type, but are not required to be coercive for the existence of weak solutions, which is obtained by a double penalization/regularization for the approximation of the solutions. In the case of time-dependent convex sets that are independent of the solution, we show also the uniqueness and the continuous dependence of the strong solutions of the variational inequalities, extending previous results to a more general framework. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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