Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation of strong Feller semigroups and well-posedness of
  semilinear stochastic equations on Banach spaces   We prove a Miyadera-Voigt type perturbation theorem for strong Feller
semigroups. Using this result, we prove well-posedness of the semilinear
stochastic equation dX(t) = [AX(t) + F(X(t))]dt + GdW_H(t) on a separable
Banach space E, assuming that F is bounded and measurable and that the
associated linear equation, i.e. the equation with F = 0, is well-posed and its
transition semigroup is strongly Feller and satisfies an appropriate gradient
estimate. We also study existence and uniqueness of invariant measures for the
associated transition semigroup.

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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: stat