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Freidlin-Wentzell's large deviation principle for stochastic integral evolution equations - MaRDI portal

Freidlin-Wentzell's large deviation principle for stochastic integral evolution equations (Q2090398)

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scientific article; zbMATH DE number 7606672
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Freidlin-Wentzell's large deviation principle for stochastic integral evolution equations
scientific article; zbMATH DE number 7606672

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    Freidlin-Wentzell's large deviation principle for stochastic integral evolution equations (English)
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    25 October 2022
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    The authors consider the following general class of stochastic integral evolution equations of the form \begin{align*} dX(t) = & AX(t) dt + D_1(t,X(t))dt + \int_0^t D_2(t,s,X(s))dsdt + B(t,X(t))dW(t) + \int_0^t G(t,s,X(s))dW(s)dt \\ X(0) = & x_0 \in H \end{align*} Their aim is to establish the large deviation principle for stochastic integral evolution equations with small random perturbations.
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    SPDE
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    stochastic integral evolution equation
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    locally monotone
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    variational approach
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    large deviation principle
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