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Renormalized entropy solutions of stochastic scalar conservation laws with boundary condition.
- Source :
-
Journal of Functional Analysis . Oct2016, Vol. 271 Issue 8, p2308-2338. 31p. - Publication Year :
- 2016
-
Abstract
- This paper is concerned with the renormalized stochastic entropy solutions of stochastic scalar conservation law forced by a multiplicative noise on a bounded domain with a non-homogeneous boundary condition. We first introduce a notion of renormalized stochastic entropy solutions and then establish the existence and uniqueness of the renormalized stochastic entropy solutions for a general L 1 -data. Our results allow us to give a positive answer to an open problem posed by Bauzet, Vallet and Wittbold in [4] . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 271
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 117615766
- Full Text :
- https://doi.org/10.1016/j.jfa.2016.06.012