Martingale solutions and invariant measures for the stochastic strongly damped wave equation with critical nonlinearity
DOI10.3934/DCDS.2024002WikidataQ130082269 ScholiaQ130082269MaRDI QIDQ6489799
Publication date: 22 April 2024
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
invariant measurepathwise uniquenesscritical nonlinearitystochastic wave equationmartingale solution
Wave equation (35L05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Dynamical systems and their relations with probability theory and stochastic processes (37A50) PDEs with randomness, stochastic partial differential equations (35R60) Martingales and classical analysis (60G46) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces
- Random attractor of the stochastic strongly damped wave equation
- Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped wave equation with multiplicative noise
- Stochastic nonlinear wave equations in local Sobolev spaces
- Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
- Longtime dynamics of the Kirchhoff equation with strong damping and critical nonlinearity on \(\mathbb{R}^N\)
- On the stochastic wave equation with nonlinear damping
- The stochastic nonlinear damped wave equation
- Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains
- On sequentially weakly Feller solutions to SPDE's
- Stochastic wave equations with polynomial nonlinearity
- Existence of global mild and strong solutions to stochastic hyperbolic evolution equations driven by a spatially homogeneous Wiener process
- Existence of a martingale solution of the stochastic Navier-Stokes equations in unbounded 2D and 3D domains
- Stochastic evolution equations with a spatially homogeneous Wiener process
- The one-dimensional stochastic Keller-Segel model with time-homogeneous spatial Wiener processes
- Uniform random attractors for a non-autonomous stochastic strongly damped wave equation on \(\mathbb{R}^{\mathbb{N}}\)
- Well-posedness and long term behavior of supercritical wave equations driven by nonlinear colored noise on \(\mathbb{R}^n\)
- Periodic measures of stochastic delay lattice systems
- Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise
- The Cauchy problem for a nonlinear stochastic wave equation in any dimension
- Invariant measures for stochastic nonlinear beam and wave equations
- Stochastic constrained Navier-Stokes equations on \(\mathbb{T}^2\)
- Asymptotic behavior of stochastic discrete wave equations with nonlinear noise and damping
- The almost sure Skorokhod representation for subsequences in nonmetric spaces
- On the Strongly Damped Wave Equation: $u_{tt} - \Delta u - \Delta u_t + f(u) = 0$
- Local well posedness for strongly damped wave equations with critical nonlinearities
- Uniqueness for stochastic evolution equations in Banach spaces
- Invariant Measures for the Stochastic von Karman Plate Equation
- EXISTENCE OF GLOBAL MARTINGALE SOLUTIONS TO STOCHASTIC HYPERBOLIC EQUATIONS DRIVEN BY A SPATIALLY HOMOGENEOUS WIENER PROCESS
- Limit measures and ergodicity of fractional stochastic reaction–diffusion equations on unbounded domains
- Periodic measures of impulsive stochastic neural networks lattice systems with delays
- Stochastic Equations in Infinite Dimensions
This page was built for publication: Martingale solutions and invariant measures for the stochastic strongly damped wave equation with critical nonlinearity