Existence and regularity of time-dependent global attractors for the nonclassical reaction-diffusion equations with lower forcing term

DOI10.1186/s13661-015-0513-3zbMath1331.35054OpenAlexW2233856517WikidataQ59468425 ScholiaQ59468425MaRDI QIDQ904002

Ling Xu, Qiaozhen Ma, Xiao-Ping Wang

Publication date: 15 January 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0513-3

zbMATH Keywords

critical exponent growth

Mathematics Subject Classification ID

Attractors (35B41) Integro-partial differential equations (45K05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33)

Related Items (9)

Attractors for the nonclassical reaction-diffusion equations on time-dependent spaces ⋮ Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations ⋮ The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities ⋮ Dynamic of the nonclassical diffusion equation with memory ⋮ Strong attractors for the strongly damped wave equations on time-dependent spaces ⋮ Existence and regularity of pullback attractors for a non-autonomous diffusion equation with delay and nonlocal diffusion in time-dependent spaces ⋮ Unnamed Item ⋮ Strong pullback attractors for a nonclassical diffusion equation ⋮ Asymptotic behavior of quasi-linear evolution equations on time-dependent product spaces

Cites Work

• Time-dependent attractor for the oscillon equation
• On the dynamics of a class of nonclassical parabolic equations
• On the problem of diffusion in solids
• Infinite-dimensional dynamical systems in mechanics and physics.
• Attractors for a nonclassical diffusion equation
• Global attractors in \(H^1(\mathbb R^N)\) for nonclassical diffusion equations
• Dynamics of non-autonomous nonclassical diffusion equations on \(\mathbb R^n\)
• Nonclassical diffusion equations on \(\mathbb{R}^N\) with singularly oscillating external forces
• Attractors for processes on time-dependent spaces. Applications to wave equations
• Asymptotic structure of the attractor for processes on time-dependent spaces
• On a theory of heat conduction involving two temperature
• Global attractors for a nonclassical diffusion equation
• Asymptotic regularity for the nonclassical diffusion equation with lower regular forcing term
• Quasilinear Evolution Equations in Nonclassical Diffusion
• Existence and upper semicontinuity of uniform attractors in H¹(R^N) for nonautonomous nonclassical diffusion equations
• Time-dependent global attractor for the nonclassical diffusion equations
• Pullback attractors in for non-autonomous nonclassical diffusion equations
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence and regularity of time-dependent global attractors for the nonclassical reaction-diffusion equations with lower forcing term