Wiener chaos solutions of linear stochastic evolution equations
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Publication:2496961
DOI10.1214/009117905000000738zbMath1100.60034arXivmath/0504558OpenAlexW2056196028MaRDI QIDQ2496961
Boris L. Rosovskii, Sergey V. Lototsky
Publication date: 26 July 2006
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0504558
White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
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Cites Work
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- Isotropic stochastic flows
- Weighted stochastic Sobolev spaces and bilinear SPDEs driven by space-time white noise
- Generalized solutions of linear parabolic stochastic partial differential equations
- On a class of stochastic partial differential equations related to turbulent transport
- Integration of Brownian vector fields.
- Phase transition in the passive scalar advection
- The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
- Multiple Wiener integral
- Multiple Integral Expansions for Nonlinear Filtering
- Functional Integration and Partial Differential Equations. (AM-109)
- Explicit solutions to a class of nonlinear filtering problems
- ON EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC EQUATIONS
- Nonlinear Filtering Revisited: A Spectral Approach
- Approximations to the solution of the zakai equation using multiple wiener and stratonovich integral expansions
- Linear Parabolic Stochastic PDE and Wiener Chaos
- AN ELEMENTARY PROOF OF THE EXISTENCE AND UNIQUENESS THEOREM FOR THE NAVIER–STOKES EQUATIONS
- Generalized flows, intrinsic stochasticity, and turbulent transport
- Passive scalar equation in a turbulent incompressible Gaussian velocity field
- Applied Analysis of the Navier-Stokes Equations
- Über nukleare Folgenräume
- Small-Scale Structure of a Scalar Field Convected by Turbulence
- Stochastic differential equations. An introduction with applications.
- Stochastic Equations in Infinite Dimensions
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