Local solution to an energy critical 2-D stochastic wave equation with exponential nonlinearity in a bounded domain

DOI10.1016/j.jde.2022.08.033OpenAlexW4288624755MaRDI QIDQ2087618

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

zbMATH Keywords

Strichartz inequalities multiplicative noise \(H^1\)-critical stochastic wave

Mathematics Subject Classification ID

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