Asymptotic behavior of stochastic wave equations with critical exponents on $\mathbb{R}^{3}$
From MaRDI portal
Publication:5200201
DOI10.1090/S0002-9947-2011-05247-5zbMath1230.37095arXiv0810.1988OpenAlexW1683708914MaRDI QIDQ5200201
Publication date: 1 August 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.1988
Asymptotic behavior of solutions to PDEs (35B40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Infinite-dimensional random dynamical systems; stochastic equations (37L55)
Related Items
Asymptotically autonomous dynamics for non-autonomous stochastic 2D g-Navier–Stokes equation in regular spaces ⋮ Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise ⋮ Necessary and sufficient criteria for existence, regularity, and asymptotic stability of enhanced pullback attractors with applications to 3D primitive equations ⋮ Mean-square invariant manifolds for stochastic weak-damping wave equations with nonlinear noise ⋮ Theoretical results on the existence, regularity and asymptotic stability of enhanced pullback attractors: applications to 3D primitive equations ⋮ Dynamics of the stochastic \(g\)-Navier-Stokes equations driven by nonlinear noise ⋮ Limiting behavior of random attractors of stochastic supercritical wave equations driven by multiplicative noise ⋮ Mean attractors and invariant measures of locally monotone and generally coercive SPDEs driven by superlinear noise ⋮ Asymptotically Autonomous Robustness in Probability of Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Poincaré Domains ⋮ Existence and upper semicontinuity of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations ⋮ Regular random attractors for non-autonomous stochastic evolution equations with time-varying delays on thin domains ⋮ Stationary approximations of stochastic wave equations on unbounded domains with critical exponents ⋮ Attractors for 2D quasi-geostrophic equations with and without colored noise in W2α−,p(ℝ2) ⋮ Tempered random attractors for parabolic equations in weighted spaces ⋮ RANDOM ATTRACTORS FOR NON-AUTONOMOUS FRACTIONAL STOCHASTIC GINZBURG-LANDAU EQUATIONS ON UNBOUNDED DOMAINS ⋮ Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg–Landau equations with multiplicative noise ⋮ Asymptotic behavior of stochastic g-Navier-Stokes equations on a sequence of expanding domains ⋮ Random dynamics of fractional stochastic reaction-diffusion equations on Rn without uniqueness ⋮ Random attractors of FitzHugh–Nagumo systems driven by colored noise on unbounded domains ⋮ Limiting dynamics for stochastic FitzHugh–Nagumo equations on large domains ⋮ Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on $\mathbb{R}^N$ ⋮ Random Attractors for Delay Parabolic Equations with Additive Noise and Deterministic Nonautonomous Forcing ⋮ Asymptotic behavior of non-autonomous fractional stochastic reaction-diffusion equations ⋮ Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on \(\mathbb{R}^n\) ⋮ Upper semicontinuity of attractors for nonclassical diffusion equations in \(H^1(\mathbb{R}^3)\) ⋮ Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation ⋮ Forward controllability of a random attractor for the non-autonomous stochastic sine-Gordon equation on an unbounded domain ⋮ Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping ⋮ Dynamics of the non-autonomous stochastic \(p\)-Laplace equation driven by multiplicative noise ⋮ 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 \(\mathbb{R}^n\) ⋮ Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximations ⋮ Pullback random attractors of stochastic strongly damped wave equations with variable delays on unbounded domains ⋮ Asymptotic behavior for stochastic plate equations with rotational inertia and Kelvin-Voigt dissipative term on unbounded domains ⋮ Fractal dimension of random invariant sets for nonautonomous random dynamical systems and random attractor for stochastic damped wave equation ⋮ A modified proof of pullback attractors in a Sobolev space for stochastic FitzHugh-Nagumo equations ⋮ Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities ⋮ Existence and approximation of attractors for nonlinear coupled lattice wave equations ⋮ Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise ⋮ \(\mathcal D\)-pullback attractor for a non-autonomous wave equation with additive noise on unbounded domains ⋮ Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms ⋮ Multi-valued random dynamics of stochastic wave equations with infinite delays ⋮ Asymptotic behavior of random FitzHugh-Nagumo systems driven by colored noise ⋮ Asymptotic behavior of stochastic \(p\)-Laplacian-type equation with multiplicative noise ⋮ Random attractors for non-autonomous stochastic wave equations with multiplicative noise ⋮ Random attractors and robustness for stochastic reversible reaction-diffusion systems ⋮ \(H^1\)-random attractors for stochastic reaction-diffusion equations with additive noise ⋮ Random dynamics of lattice wave equations driven by infinite-dimensional nonlinear noise ⋮ Long term behavior of random Navier-Stokes equations driven by colored noise ⋮ Probabilistic continuity of a pullback random attractor in time-sample ⋮ Random attractors for stochastic time-dependent damped wave equation with critical exponents ⋮ Asymptotic behavior of stochastic fractional power dissipative equations on \(\mathbb{R}^n\) ⋮ Random attractors for stochastic delay wave equations on \(\mathbb{R}^n\) with linear memory and nonlinear damping ⋮ Asymptotic behavior of stochastic Fitzhugh-Nagumo systems on unbounded thin domains ⋮ Local and global existence of solutions to a time-fractional wave equation with an exponential growth ⋮ Global Attractor for Nonlinear Wave Equations with Critical Exponent on Unbounded Domain ⋮ Dynamics for a stochastic degenerate parabolic equation ⋮ Backwards compact attractors and periodic attractors for non-autonomous damped wave equations on an unbounded domain ⋮ Random attractor for stochastic reaction-diffusion equation with multiplicative noise on unbounded domains ⋮ Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems ⋮ RANDOM ATTRACTOR FOR NON-AUTONOMOUS STOCHASTIC STRONGLY DAMPED WAVE EQUATION ON UNBOUNDED DOMAINS ⋮ LONG TIME BEHAVIOR OF STOCHASTIC MHD EQUATIONS PERTURBED BY MULTIPLICATIVE NOISES ⋮ Regularity of random attractors for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\) ⋮ Existence, stability and bifurcation of random complete and periodic solutions of stochastic parabolic equations ⋮ \((L^{2},L^{p})\)-random attractors for stochastic reaction-diffusion equation on unbounded domains ⋮ Weak pullback attractors for stochastic Navier-Stokes equations with nonlinear diffusion terms ⋮ Random dynamics of non-autonomous fractional stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) ⋮ Dynamics of non-autonomous stochastic dissipative Hamiltonian amplitude wave equations with rapidly oscillating force ⋮ Random attractors and averaging for non-autonomous stochastic wave equations with nonlinear damping ⋮ Pullback attractor for nonautonomous Ginzburg-Landau equation with additive noise ⋮ Asymptotic behavior for non-autonomous fractional stochastic Ginzburg–Landau equations on unbounded domains ⋮ Random attractor for a stochastic damped wave equation with multiplicative noise on unbounded domains ⋮ Random attractor for stochastic reversible Schnackenberg equations ⋮ Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains ⋮ Asymptotic behavior of the stochastic Keller-Segel equations ⋮ Random dynamics of \(p\)-Laplacian lattice systems driven by infinite-dimensional nonlinear noise ⋮ Asymptotic behavior of stochastic discrete wave equations with nonlinear noise and damping ⋮ Backward compact and periodic random attractors for non-autonomous sine-Gordon equations with multiplicative noise ⋮ Upper semicontinuity of attractors of stochastic delay reaction-diffusion equations in the delay ⋮ Fractal dimension of random attractors for stochastic non-autonomous reaction-diffusion equations ⋮ Random attractor for stochastic non-autonomous damped wave equation with critical exponent ⋮ Pullback attractors for a strongly damped delay wave equation in ℝn ⋮ Long-time dynamics of fractional nonclassical diffusion equations with nonlinear colored noise and delay on unbounded domains ⋮ Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped wave equation with multiplicative noise ⋮ Multivalued non-autonomous random dynamical systems for wave equations without uniqueness ⋮ Dynamics of stochastic three dimensional Navier-Stokes-Voigt equations on unbounded domains ⋮ Random attractors for non-autonomous fractional stochastic parabolic equations on unbounded domains ⋮ Longtime robustness of pullback random attractors for stochastic magneto-hydrodynamics equations ⋮ Asymptotic behavior of non-autonomous fractional stochastic \(p\)-Laplacian equations ⋮ Limiting dynamics for stochastic reaction-diffusion equations on the Sobolev space with thin domains ⋮ \(H^1\)-random attractors and random equilibria for stochastic reaction-diffusion equations with multiplicative noises ⋮ Long time dynamics of 2D quasi-geostrophic equations with damping in \(L^p\) ⋮ Pathwise upper semi-continuity of random pullback attractors along the time axis ⋮ Wong-Zakai approximations and attractors for stochastic wave equations driven by additive noise ⋮ Weak pullback mean random attractors for non-autonomous \(p\)-Laplacian equations ⋮ Upper semi-continuity of attractors for non-autonomous fractional stochastic parabolic equations with delay ⋮ Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations ⋮ Bi-spatial pullback attractors of fractional nonclassical diffusion equations on unbounded domains with \((p, q)\)-growth nonlinearities ⋮ ASYMPTOTIC AUTONOMY OF RANDOM ATTRACTORS FOR BBM EQUATIONS WITH LAPLACE-MULTIPLIER NOISE ⋮ Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains ⋮ Dynamical behavior of non-autonomous fractional stochastic reaction-diffusion equations ⋮ Random attractors of reaction-diffusion equations without uniqueness driven by nonlinear colored noise ⋮ Limiting dynamical behavior of random fractional Fitzhugh-Nagumo systems driven by a Wong-Zakai approximation process ⋮ Dynamics of stochastic reaction-diffusion lattice systems driven by nonlinear noise ⋮ Dynamics of non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise ⋮ Random attractors for stochastic retarded reaction-diffusion equations on unbounded domains ⋮ Dynamics and invariant measures of multi-stochastic sine-Gordon lattices with random viscosity and nonlinear noise ⋮ Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise ⋮ Upper semicontinuity of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise ⋮ Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise ⋮ Stochastic dynamics of non-autonomous fractional Ginzburg-Landau equations on \(\mathbb{R}^3 \) ⋮ Asymptotically autonomous dynamics for non-autonomous stochastic \(g\)-Navier-Stokes equation with additive noise ⋮ Random attractors of supercritical wave equations driven by infinite-dimensional additive noise on \(\mathbb{R}^n\) ⋮ Weak pullback attractors for mean random dynamical systems in Bochner spaces ⋮ Asymptotic behavior of supercritical wave equations driven by colored noise on unbounded domains ⋮ Strong convergence of bi-spatial random attractors for parabolic equations on thin domains with rough noise ⋮ Random attractors for 2D stochastic hydrodynamical-type systems ⋮ Random attractors for damped non-autonomous wave equations with memory and white noise ⋮ Asymptotic behavior for non-autonomous stochastic plate equation on unbounded domains ⋮ Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains ⋮ Fractal dimension of random attractor for stochastic non-autonomous damped wave equation with linear multiplicative white noise ⋮ Attractors of non-autonomous stochastic lattice systems in weighted spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random attractor for a stochastic damped wave equation with multiplicative noise on unbounded domains
- Global attractors for wave equations with nonlinear interior damping and critical exponents
- Random attractors for the stochastic FitzHugh-Nagumo system on unbounded domains
- Pullback attractors for stochastic heat equations in materials with memory
- Attractors for semilinear damped wave equations on arbitrary unbounded domains
- Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains
- Attractors for singularly perturbed damped wave equations on unbounded domains
- Regularity of invariant sets in semilinear damped wave equations
- Attractors for random dynamical systems
- Global attractors for semilinear damped wave equations with supercritical exponent
- Infinite-dimensional dynamical systems in mechanics and physics.
- Random attractors
- Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
- Global attractors for damped semilinear wave equations.
- Attractors for noncompact nonautonomous systems via energy equations.
- Attractors for second-order evolution equations with a nonlinear damping
- Attractors for reaction-diffusion equations in unbounded domains
- An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors
- Random attractors for stochastic reaction-diffusion equations on unbounded domains
- Global attractors for the wave equation with nonlinear damping
- An introduction to infinite-dimensional analysis
- On the structure of attractors and invariant measures for a class of monotone random systems
- Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity
- Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains
- Upper Semicontinuity of Random Attractors for Non-compact Random Dynamical Systems
- A damped hyerbolic equation with critical exponent
- Attractors for non-compact semigroups via energy equations
- Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
- Attractors for semilinear damped wave equations on 3
- Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
- TheH1-compact global attractor for the solutions to the Navier-Stokes equations in two-dimensional unbounded domains
- A stochastic pitchfork bifurcation in a reaction-diffusion equation
- Flattening, squeezing and the existence of random attractors
- ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS
- Random Attractor for Damped Nonlinear Wave Equations with White Noise