Large Deviation Principle for Semilinear Stochastic Evolution Equations with Monotone Nonlinearity and Multiplicative Noise
Dadashi-Arani, Hassan · Zangeneh, Bijan Z.
Original · EN
We demonstrate the large deviation property for the mild solutions of stochastic evolution equations with monotone nonlinearity and multiplica- tive noise. This is achieved using the recently developed weak convergence method, in studying the large deviation principle. An Itᵒ-type inequality is a main tool in the proofs. We also give two examples to illustrate the applications of the theorems.
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