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On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs.
- Source :
-
Stochastic Analysis & Applications . 2021, Vol. 39 Issue 5, p898-925. 28p. - Publication Year :
- 2021
-
Abstract
- The main goal of this work is to relate weak and pathwise mild solutions for parabolic quasilinear stochastic partial differential equations (SPDEs). Extending in a suitable way techniques from the theory of nonautonomous semilinear SPDEs to the quasilinear case, we prove the equivalence of these two solution concepts. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STOCHASTIC partial differential equations
*MATHEMATICAL equivalence
Subjects
Details
- Language :
- English
- ISSN :
- 07362994
- Volume :
- 39
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Stochastic Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 152396226
- Full Text :
- https://doi.org/10.1080/07362994.2020.1857268