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math.PR2020
On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs
Gaurav Dhariwal, Florian Huber, Alexandra Neamţu
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 te…
math.PR2019
Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method
Gaurav Dhariwal, Florian Huber, Ansgar Jüngel +2
The existence of global-in-time bounded martingale solutions to a general class of cross-diffusion systems with multiplicative Stratonovich noise is proved. The equations describe…