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- W2036713305 abstract "Presented are some new results concerning distorted Brownian motion, the Ito process associated with the Schrödinger operator with ground state. These results are obtained by means of Malliavin stochastic calculus. Under the condition of continuously differentiable drift coefficient with bounded partial derivatives, it is proved that the image of a bounded function after action of the expectation operator of distorted Brownian motion is twice continuously differentiable. This approach enabled us to prove that distorted Brownian motion has twice continuously differentiable transition densities. With the additional assumption that the drift is bounded, it is proved that the corresponding initial value problem has an infinitely differentiable fundamental solution." @default.
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- W2036713305 date "1990-05-01" @default.
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- W2036713305 title "Stochastic calculus and Schrödinger semigroups admitting a ground state" @default.
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- W2036713305 doi "https://doi.org/10.1063/1.528756" @default.
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