On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs. (English) Zbl 1514.60074
Weak and pathwise mild solutions for parabolic quasilinear stochastic partial differential equations (SPDEs) are compared in this work. By appropriately adapting techniques from the theory of nonautonomous semilinear SPDEs to the quasilinear situation, it is ultimately demonstrated that these two solution approaches are equivalent.
Reviewer: Udhayakumar Ramalingam (Vellore)
MSC:
| 60H15 | Stochastic partial differential equations (aspects of stochastic analysis) |
| 35R60 | PDEs with randomness, stochastic partial differential equations |
| 35Q35 | PDEs in connection with fluid mechanics |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 35D30 | Weak solutions to PDEs |
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