Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain
From MaRDI portal
Publication:2087618
DOI10.1016/j.jde.2022.08.033OpenAlexW4288624755MaRDI QIDQ2087618
Nimit Rana, Zdzisław Brzeźniak
Publication date: 21 October 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.08123
Wave equation (35L05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces
- Uniqueness in law of the stochastic convolution process driven by Lévy noise
- Strichartz type estimates and the well-posedness of an energy critical 2D wave equation in a bounded domain
- Stochastic nonlinear wave equations in local Sobolev spaces
- Stochastic wave equation with critical nonlinearities: temporal regularity and uniqueness
- Asymptotics of solutions to semilinear stochastic wave equations
- Large deviations for the Boussinesq equations under random influences
- Strong pathwise solutions of the stochastic Navier-Stokes system
- Semigroups of linear operators and applications to partial differential equations
- Random nonlinear wave equations: Smoothness of the solutions
- Random nonlinear wave equations: Propagation of singularities
- Semimartingales: A course on stochastic processes
- Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
- Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth
- The stochastic wave equation in two spatial dimensions
- Infinite-dimensional dynamical systems in mechanics and physics.
- Nonlinear stochastic wave and heat equations
- Martingale solutions and invariant measures for stochastic evolution equations in Banach spaces
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- Stochastic nonlinear beam equations
- A stochastic wave equation in two space dimensions: smoothness of the law
- Stochastic two dimensional Euler equations
- Stochastic wave equations with polynomial nonlinearity
- On a nonlinear stochastic wave equation in the plane: Existence and uniqueness of the solution
- Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process
- On critical cases of Sobolev's inequalities
- Applied functional analysis. Applications to mathematical physics. Vol. 1
- The Cauchy problem for a nonlinear stochastic wave equation in any dimension
- Integral continuity and stability for stochastic hyperbolic equations
- On the \(L^p\) norm of spectral clusters for compact manifolds with boundary
- Uniqueness for stochastic non-linear wave equations
- Strong solutions to stochastic wave equations with values in Riemannian manifolds
- On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact Riemannian manifold
- Invariant measures for stochastic nonlinear beam and wave equations
- Analysis in Banach Spaces
- The stochastic Fubini theorem revisited
- A Note on Maximal Inequality for Stochastic Convolutions
- Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
- Global existence for energy critical waves in 3-d domains
- Hölder-Sobolev regularity of the solution to the stochastic wave equation in dimension three
- Global existence for energy critical waves in 3-D domains: Neumann boundary conditions
- Equations de Schrödinger non linéaires en dimension deux
- Stochastic hyperbolic systems and the wave equation
- Semi-linear wave equations
- Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
- On stochastic convolution in banach spaces and applications
- Uniqueness for stochastic evolution equations in Banach spaces
- Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise
- Stochastic Equations in Infinite Dimensions
- EXISTENCE OF GLOBAL MARTINGALE SOLUTIONS TO STOCHASTIC HYPERBOLIC EQUATIONS DRIVEN BY A SPATIALLY HOMOGENEOUS WIENER PROCESS
- On barrier problems for the vibrating string
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
This page was built for publication: Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain
