Random dynamics of stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) with an unbounded additive noise

DOI10.1016/j.jmaa.2017.06.025zbMath1432.35267OpenAlexW2625894742MaRDI QIDQ2014087

Wen-Qiang Zhao

Publication date: 10 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.06.025

zbMATH Keywords

pullback attractorshigher-order attractiontranslation boundedhigher-order integrabilitynon-autonomous \(p\)-Laplacian equations

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (33)

Upper semi-continuity of random attractors for a non-autonomous dynamical system with a weak convergence condition ⋮ Asymptotic \(H^2\) regularity of a stochastic reaction-diffusion equation ⋮ High-order Wong-Zakai approximations for non-autonomous stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) ⋮ Random attractors for locally monotone stochastic partial differential equations ⋮ Pullback random attractors for fractional stochastic \(p\)-Laplacian equation with delay and multiplicative noise ⋮ Random dynamics of lattice wave equations driven by infinite-dimensional nonlinear noise ⋮ Probabilistic continuity of a pullback random attractor in time-sample ⋮ Asymptotically autonomous dynamics for parabolic equations ⋮ Limiting dynamics for stochastic delay \(p\)-Laplacian equation on unbounded thin domains ⋮ Asymptotic behavior of non-autonomous fractional stochastic \(p\)-Laplacian equations with delay on \(\mathbb{R}^n\) ⋮ Limiting dynamics for fractional stochastic reaction-diffusion equations driven by a Wong–Zakai approximation process on Rn ⋮ Tempered random attractors of a non-autonomous non-local fractional equation driven by multiplicative white noise ⋮ Strong \((L^2,L^\gamma\cap H_0^1)\)-continuity in initial data of nonlinear reaction-diffusion equation in any space dimension ⋮ Bi-spatial pullback attractors of non-autonomous \(p\)-Laplacian equations on unbounded thin domains ⋮ Random dynamics of non-autonomous fractional stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) ⋮ Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on \(\mathbb{R}^N\) ⋮ Local equi-attraction of pullback attractor sections ⋮ Asymptotical dynamics for non-autonomous stochastic equations driven by a non-local integro-differential operator of fractional type ⋮ 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 ⋮ Random attractors for multi-valued multi-stochastic delayed p-Laplace lattice 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 ⋮ Continuous Wong-Zakai approximations of random attractors for quasi-linear equations with nonlinear noise ⋮ Pathwise upper semi-continuity of random pullback attractors along the time axis ⋮ Invariant forward attractors of non-autonomous random dynamical systems ⋮ Wong–Zakai approximations of the non-autonomous stochastic FitzHugh–Nagumo system on RN in higher regular spaces ⋮ Regularity of Wong-Zakai approximation for non-autonomous stochastic quasi-linear parabolic equation on \(\mathbb{R}^N\) ⋮ Limiting dynamics for stochastic FitzHugh–Nagumo equations on large domains ⋮ Asymptotic autonomy of bi-spatial attractors for stochastic retarded Navier-Stokes equations ⋮ Long term behavior for a class of stochastic delay lattice systems in \(X_\rho\) space ⋮ Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity of random attractors for a degenerate parabolic equations driven by additive noises
• Dynamics of the non-autonomous stochastic \(p\)-Laplace equation driven by multiplicative noise
• Non-autonomous reaction-diffusion model with dynamic boundary conditions
• Random attractors for non-autonomous stochastic wave equations with multiplicative noise
• Attractors for infinite-dimensional non-autonomous dynamical systems
• Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
• Higher-order asymptotic attraction of pullback attractors for a reaction-diffusion equation in non-cylindrical domains
• Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains
• Long-time random dynamics of stochastic parabolic \(p\)-Laplacian equations on \(\mathbb{R}^N\)
• Random attractors for a class of stochastic partial differential equations driven by general additive noise
• \((L^{2},L^{p})\)-random attractors for stochastic reaction-diffusion equation on unbounded domains
• Existence, regularity and approximation of global attractors for weakly dissipative \(p\)-Laplace equations
• Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain
• Global attractors for \(p\)-Laplacian equation
• Existence of a global attractor for a \(p\)-Laplacian equation in \(\mathbb {R}^n\)
• Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction-diffusion equations
• Attractors for random dynamical systems
• Infinite-dimensional dynamical systems in mechanics and physics.
• Random attractors
• On a superlinear elliptic \(p\)-Laplacian equation.
• Monotone random systems theory and applications
• Compactness and attracting of random attractors for non-autonomous stochastic lattice dynamical systems in weighted space \(\ell_\rho^p\)
• Random attractors for degenerate stochastic partial differential equations
• Long-time dynamics of the parabolic \(p\)-Laplacian equation
• Continuity and pullback attractors for a non-autonomous reaction-diffusion equation in \(\mathbb R^N\)
• Higher-order integrability for a semilinear reaction-diffusion equation with distribution derivatives in \(\mathbb R^N\)
• Dynamics for a stochastic reaction-diffusion equation with additive noise
• Random attractors for damped non-autonomous wave equations with memory and white noise
• On the existence of regular global attractor for \(p\)-Laplacian evolution equation
• Box-counting dimensions and upper semicontinuities of bi-spatial attractors for stochastic degenerate parabolic equations on an unbounded domain
• Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations
• Random attractors for singular stochastic evolution equations
• Comments on the validity of a common category of constitutive equations
• Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
• On the equation of turbulent filtration in one- dimensional porous media
• Asymptotic regularity for p-Laplacian equation
• Two types of upper semi‐continuity of bi‐spatial attractors for non‐autonomous stochastic p‐Laplacian equations on
• ATTRACTORS FOR STOCHASTIC LATTICE DYNAMICAL SYSTEMS

This page was built for publication: Random dynamics of stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) with an unbounded additive noise