Stochastic Schrödinger equation driven by cylindrical Wiener process and fractional Brownian motion (Q2891141)
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scientific article; zbMATH DE number 6045964
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stochastic Schrödinger equation driven by cylindrical Wiener process and fractional Brownian motion |
scientific article; zbMATH DE number 6045964 |
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13 June 2012
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nonlinear stochastic Schrödinger equations
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cylindrical Wiener process
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cylindrical fractional Brownian motion
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Stochastic Schrödinger equation driven by cylindrical Wiener process and fractional Brownian motion (English)
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The authors study the properties of the solution of a stochastic nonlinear equation of Schrödinger-type, which is perturbed by a cylindrical Wiener process and an additive cylindrical fractional Brownian motion with Hurst parameter in the interval \((0.5,1)\). The existence of a solution and the existence of the Malliavin derivative are proved.
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