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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.PR2020
Random attractors via pathwise mild solutions for stochastic parabolic evolution equations
Christian Kuehn, Alexandra Neamtu, Stefanie Sonner
We investigate the longtime behavior of stochastic partial differential equations (SPDEs) with differential operators that depend on time and the underlying probability space. In p…