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

Gaurav Dhariwal; Florian Huber; Alexandra Neamţu

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arXiv · 2008.10318

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

Gaurav Dhariwal·Florian Huber·Alexandra Neamţu

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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.

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Gaurav Dhariwal, Florian Huber, Alexandra Neamţu. 2020-08-24. On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs. https://arxiv.org/abs/2008.10318

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