Optimal relaxed control of dissipative stochastic partial differential equations in Banach spaces (Q2848603)
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scientific article; zbMATH DE number 6212064
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal relaxed control of dissipative stochastic partial differential equations in Banach spaces |
scientific article; zbMATH DE number 6212064 |
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26 September 2013
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relaxed control
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stochastic partial differential equation
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multiplicative cylindrical noise
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stochastic convolution
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Optimal relaxed control of dissipative stochastic partial differential equations in Banach spaces (English)
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The authors consider controlled semilinear stochastic evolution equations in Banach spaces, driven by cylindrical Wiener processes. The drift coefficient satisfies a dissipative-type condition with respect to the state variable. To prove the existence of an optimal weak relaxed control, the authors apply a factorization method of stochastic convolutions.NEWLINENEWLINEThe results are illustrated by examples that cover a class of stochastic reaction-diffusion equations with multiplicative noise.
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