On \(L^ {p}\)-solutions of semilinear stochastic partial differential equations.
From MaRDI portal
Publication:1879484
DOI10.1016/S0304-4149(00)00033-8zbMath1046.60059OpenAlexW1966303277MaRDI QIDQ1879484
Publication date: 22 September 2004
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0304-4149(00)00033-8
Related Items
Estimates of blow‐up times of a system of semilinear SPDEs ⋮ Renormalized entropy solutions of stochastic scalar conservation laws with boundary condition ⋮ Heterogeneous stochastic scalar conservation laws with non-homogeneous Dirichlet boundary conditions ⋮ Global existence and finite time blow-up for a stochastic non-local reaction-diffusion equation ⋮ Strong solutions of semilinear stochastic partial differential equations ⋮ Backward doubly SDEs and semilinear stochastic PDEs in a convex domain ⋮ Large deviation principles for first-order scalar conservation laws with stochastic forcing ⋮ \(L_p\)-regularity theory for semilinear stochastic partial differential equations with multiplicative white noise ⋮ Stability in mean of partial variables for stochastic reaction-diffusion systems with Markovian switching ⋮ Viscous scalar conservation law with stochastic forcing: strong solution and invariant measure ⋮ A regularity theory for stochastic generalized Burgers' equation driven by a multiplicative space-time white noise ⋮ Uniform large deviations for a class of Burgers-type stochastic partial differential equations in any space dimension ⋮ Ergodicity for stochastic conservation laws with multiplicative noise ⋮ Stability in mean of partial variables for stochastic reaction diffusion systems ⋮ Weak solution for stochastic Degasperis-Procesi equation ⋮ Well-posedness for stochastic scalar conservation laws with the initial-boundary condition ⋮ On a Burgers type nonlinear equation perturbed by a pure jump Lévy noise in \(\mathbb R^d\) ⋮ A stochastic parabolic model of MEMS driven by fractional Brownian motion ⋮ Degenerate parabolic stochastic partial differential equations ⋮ Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise ⋮ Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing ⋮ A stochastic conservation law with nonhomogeneous Dirichlet boundary conditions ⋮ Theory and application of stability for stochastic reaction diffusion systems ⋮ Solutions of stochastic partial differential equations considered as Dirichlet processes ⋮ Finite-time blowup and existence of global positive solutions of a semi-linear SPDE ⋮ Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations ⋮ Scalar conservation laws with stochastic forcing ⋮ Convergence of approximations to stochastic scalar conservation laws ⋮ On a high-dimensional nonlinear stochastic partial differential equation ⋮ Existence and uniqueness for the mild solution of the stochastic heat equation with non-Lipschitz drift on an unbounded spatial domain ⋮ Compact finite difference method to numerically solving a stochastic fractional advection-diffusion equation ⋮ Hölder continuity of solutions to the Dirichlet problem for SPDEs with spatially correlated noise ⋮ A note on stochastic semilinear equations and their associated Fokker-Planck equations ⋮ \(L^p\) estimates for the uniform norm of solutions of quasilinear SPDE's
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A \(W_ 2^ n\)-theory of the Dirichlet problem for SPDEs in general smooth domains
- The stochastic Burgers equation
- Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
- Propagation of a stationary shock layer in the presence of a boundary
- Large deviations for a Burgers'-type SPDE
- On the stochastic Burgers' equation in the real line
- Existence of strong solutions for Itô's stochastic equations via approximations
- Existence and uniqueness results for semilinear stochastic partial differential equations
- On the uniqueness of solutions of stochastic differential equations
- Burgers equation driven by a space-time white noise: absolute continuity of the solution
- On stochastic partial differential equations with polynomial nonlinearities
- Stochastic burgers equation with correlated noise
- On stochastic diffusion equations and stochastic Burgers’ equations
- The partial differential equation ut + uux = μxx
- Stochastic Burgers' equation
- Cahn-Hilliard stochastic equation: Existence of the solution and of its density