Strong Feller solutions to SPDE's are strong Feller in the weak topology (Q2773396)
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scientific article; zbMATH DE number 1709987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong Feller solutions to SPDE's are strong Feller in the weak topology |
scientific article; zbMATH DE number 1709987 |
Statements
Strong Feller solutions to SPDE's are strong Feller in the weak topology (English)
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21 February 2002
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strongly Feller process
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stochastic partial differential equation
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0.8832391
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0.86236596
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0.85543466
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0.8481735
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0.8479028
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0.84785575
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For a wide class of Markov processes on a Hilbert space \(H\)defined by semilinear stochastic partial differential equations it is shown that their semigroups map bounded Borel functions to functions weakly continuous on bounded sets whenever they map bounded Borel functions into functions continuous in the norm topology. As a consequence, results on the long time behavior of strongly Feller processes on \(H\) are obtained.
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