On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs
Probability
2020-08-25 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2008.10318,
title = {On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs},
author = {Gaurav Dhariwal and Florian Huber and Alexandra Neamţu},
journal= {arXiv preprint arXiv:2008.10318},
year = {2020}
}
Comments
26 pages, preprint