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

Dhariwal G, Huber F, Neamtu A-A (2020)
Stochastic Analysis and Applications.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Dhariwal, Gaurav; Huber, Florian; Neamtu, Alexandra-AureliaUniBi
Abstract / Bemerkung
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.
Stichworte
Quasilinear SPDEs; cross-diffusion systems; weak solution; pathwise mild; solution
Erscheinungsjahr
2020
Zeitschriftentitel
Stochastic Analysis and Applications
ISSN
0736-2994
eISSN
1532-9356
Page URI
https://pub.uni-bielefeld.de/record/2950225

Zitieren

Dhariwal G, Huber F, Neamtu A-A. On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs. Stochastic Analysis and Applications. 2020.
Dhariwal, G., Huber, F., & Neamtu, A. - A. (2020). On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs. Stochastic Analysis and Applications. doi:10.1080/07362994.2020.1857268
Dhariwal, G., Huber, F., and Neamtu, A. - A. (2020). On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs. Stochastic Analysis and Applications.
Dhariwal, G., Huber, F., & Neamtu, A.-A., 2020. On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs. Stochastic Analysis and Applications.
G. Dhariwal, F. Huber, and A.-A. Neamtu, “On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs”, Stochastic Analysis and Applications, 2020.
Dhariwal, G., Huber, F., Neamtu, A.-A.: On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs. Stochastic Analysis and Applications. (2020).
Dhariwal, Gaurav, Huber, Florian, and Neamtu, Alexandra-Aurelia. “On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs”. Stochastic Analysis and Applications (2020).

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