On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs
| Type of Publication: | Journal article |
| Publication status: | Published |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1izbq74cqtvor2 |
| Author: | Dhariwal, Gaurav; Huber, Florian; Neamtu, Alexandra Aurelia |
| Year of publication: | 2021 |
| Published in: | Stochastic Analysis and Applications ; 39 (2021), 5. - pp. 898-925. - Taylor & Francis. - ISSN 0736-2994. - eISSN 1532-9356 |
| DOI (citable link): | https://dx.doi.org/10.1080/07362994.2020.1857268 |
| Summary: |
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.
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| Subject (DDC): | 510 Mathematics |
| Keywords: | Quasilinear SPDEs, cross-diffusion systems, weak solution, pathwise mild solution |
| Link to License: | Attribution 4.0 International |
| Bibliography of Konstanz: | Yes |
| Refereed: | Unknown |
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DHARIWAL, Gaurav, Florian HUBER, Alexandra Aurelia NEAMTU, 2021. On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs. In: Stochastic Analysis and Applications. Taylor & Francis. 39(5), pp. 898-925. ISSN 0736-2994. eISSN 1532-9356. Available under: doi: 10.1080/07362994.2020.1857268
@article{Dhariwal2021-09-03equiv-57950, title={On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs}, year={2021}, doi={10.1080/07362994.2020.1857268}, number={5}, volume={39}, issn={0736-2994}, journal={Stochastic Analysis and Applications}, pages={898--925}, author={Dhariwal, Gaurav and Huber, Florian and Neamtu, Alexandra Aurelia} }
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