Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise
DOI10.1016/j.na.2021.112310zbMath1470.60184arXiv1908.06128OpenAlexW3163382526MaRDI QIDQ2033010
Primož Pušnik, Felix Lindner, Arnulf Jentzen
Publication date: 14 June 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.06128
Sobolev spaceHilbert spaceordinary differential equationBurgers equationsinfinite-dimensional analysisregularity analysis
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local existence and non-explosion of solutions for stochastic fractional partial differential equations driven by multiplicative noise
- Stochastic partial differential equations: an introduction
- Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise
- One-dimensional stochastic Burgers equation driven by Lévy processes
- Regularities for semilinear stochastic partial differential equations
- The stochastic Burgers equation
- Strong convergence for explicit space-time discrete numerical approximation methods for stochastic Burgers equations
- On the stochastic Burgers' equation in the real line
- Existence and uniqueness results for semilinear stochastic partial differential equations
- Exponential moments for numerical approximations of stochastic partial differential equations
- A concise course on stochastic partial differential equations
- On the stochastic Burgers equation with a polynomial nonlinearity in the real line
- The Pathwise Convergence of Approximation Schemes for Stochastic Differential Equations
- Ergodic properties of Fractional Stochastic Burgers Equation
- Existence, uniqueness, and numerical approximations for stochastic Burgers equations
- Foundations of Modern Probability
- Interpolation Theory
- Ergodicity for Infinite Dimensional Systems
- Stochastic burgers equation with correlated noise
- Galerkin Approximations for the Stochastic Burgers Equation
- Stochastic Burgers' equation on the real line: regularity and moment estimates
- Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities
- Stochastic Equations in Infinite Dimensions
- Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
- Stochastic Burgers' equation
- Dynamics of evolutionary equations
- Stochastic Equations in Infinite Dimensions
This page was built for publication: Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise
