Attractors for the nonclassical diffusion equations with fading memory
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Publication:1043506
DOI10.1016/j.jmaa.2009.09.029zbMath1180.35127OpenAlexW2003873610MaRDI QIDQ1043506
Lu Yang, Cheng-Kui Zhong, Xu An Wang
Publication date: 9 December 2009
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.2009.09.029
global attractorcritical exponentfading memorynonclassical diffusion equationlong-time dynamical behavior
Attractors (35B41) Critical exponents in context of PDEs (35B33) Integro-partial differential equations (35R09)
Related Items (21)
Upper semicontinuity of uniform attractors for nonclassical diffusion equations ⋮ Exponential decay of a first order linear Volterra equation ⋮ Uniform attractors of nonclassical diffusion equations lacking instantaneous damping on \(\mathbb{R}^N\) with memory ⋮ Strong global attractors for nonclassical diffusion equation with fading memory ⋮ Uniform attractors for nonclassical diffusion equations with memory ⋮ Global existence and decay estimates for the semilinear nonclassical-diffusion equations with memory in \(\mathbb{R}^n\) ⋮ Attractors for a class of perturbed nonclassical diffusion equations with memory ⋮ Nonclassical diffusion with memory lacking instantaneous damping ⋮ The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities ⋮ Regularity of pullback attractors for nonautonomous nonclassical diffusion equations ⋮ Dynamic of the nonclassical diffusion equation with memory ⋮ Unnamed Item ⋮ Global attractors for nonclassical diffusion equations with hereditary memory and a new class of nonlinearities ⋮ Attractors for autonomous and nonautonomous 3D Benjamin-Bona-Mahony equations ⋮ Attractors for a class of abstract evolution equations with fading memory ⋮ Optimal control of nonclassical diffusion equations with memory ⋮ Dynamics of parabolic problems with memory. Subcritical and critical nonlinearities ⋮ Strong pullback attractors for a nonclassical diffusion equation ⋮ Nonclassical diffusion with memory ⋮ Global attractors for a class of degenerate parabolic equations with memory ⋮ A remark on nonclassical diffusion equations with memory
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