Weak infinitesimal generator for a stochastic partial differential equation with time delay (Q1893869)
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scientific article; zbMATH DE number 773012
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak infinitesimal generator for a stochastic partial differential equation with time delay |
scientific article; zbMATH DE number 773012 |
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Weak infinitesimal generator for a stochastic partial differential equation with time delay (English)
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20 September 1995
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Summary: We consider the Markov solution process for a stochastic parabolic differential equation with time delay. Under the Lipschitz condition and boundedness on the drift and diffusion coefficient, properties of the weak infinitesimal generator of the associated Markov operators are established. Actions of the weak infinitesimal generator on the space of quasi-tame functions are also investigated.
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stochastic partial differential equation with time delay
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Markov operators
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weak infinitesimal generator
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