Stochastic flows for nonlinear second-order parabolic SPDE. (English) Zbl 0870.60056

The author proves the existence of stochastic flows in \(L^2\) for a reaction-diffusion equation of second order in a bounded domain.


60H15 Stochastic partial differential equations (aspects of stochastic analysis)
60H25 Random operators and equations (aspects of stochastic analysis)
35R60 PDEs with randomness, stochastic partial differential equations
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