Linear parabolic equation with Dirichlet white noise boundary conditions
DOI10.1016/j.jde.2023.03.003arXiv2109.05428OpenAlexW3201112023MaRDI QIDQ6042665
Beniamin Goldys, Szymon Peszat
Publication date: 3 May 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.05428
stochastic partial differential equationsDirichlet boundary conditionsOrnstein-Uhlenbeck processwhite noise boundary conditions
Initial-boundary value problems for second-order parabolic equations (35K20) 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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- Is the stochastic parabolicity condition dependent on \(p\) and \(q\)?
- Stabilization of stochastic parabolic equations with boundary-noise and boundary-control
- Probability in Banach spaces. Isoperimetry and processes
- Two-sided estimates on Dirichlet heat kernels for time-dependent parabolic operators with singular drifts in \(C^{1,\alpha }\)-domains
- Stochastic partial differential equations with Dirichlet white-noise boundary conditions
- Boundary stabilization of parabolic equations
- Space-time regularity for linear stochastic evolution equations driven by spatially homogeneous noise
- Multidimensional reaction-diffusion equations with white noise boundary perturbations
- Stochastic evolution equations with a spatially homogeneous Wiener process
- The heat equation with rough boundary conditions and holomorphic functional calculus
- The Cauchy problem for a nonlinear stochastic wave equation in any dimension
- Second order PDEs with Dirichlet white noise boundary conditions
- Stochastic integration in UMD Banach spaces
- The Heat Equation inLq((0,T),Lp)-Spaces with Weights
- Semilinear Parabolic Problems Define Semiflows on C k Spaces
- An LQ Problem for the Heat Equation on the Halfline with Dirichlet Boundary Control and Noise
- Evolution equations with white-noise boundary conditions
- Ergodic Boundary/Point Control of Stochastic Semilinear Systems
- STABILITY FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH DIRICHLET WHITE-NOISE BOUNDARY CONDITIONS
- Stochastic Equations in Infinite Dimensions
- Stochastic Partial Differential Equations with Levy Noise
- Sobolev Spaces
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