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On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs.

Authors :
Dhariwal, Gaurav
Huber, Florian
Neamţu, Alexandra
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]

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