Attractors and asymptotic regularity for nonclassical diffusion equations in locally uniform spaces with critical exponent

DOI10.3233/ASY-161382zbMath1353.35242MaRDI QIDQ2831518

Jinling Gao, Lihong Wang, Fang-hong Zhang

Publication date: 10 November 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

zbMATH Keywords

global attractorcritical exponentasymptotic regularitynonclassical diffusion equationslocally uniform spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Critical exponents in context of PDEs (35B33) Bifurcations in context of PDEs (35B32) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (4)

Regularity of pullback attractors for nonautonomous nonclassical diffusion equations ⋮ Pullback attractors in the weighted space for multi-valued process generated by the non-autonomous nonclassical diffusion equations with unbounded delays without uniqueness of solutions ⋮ Global attractors for nonclassical diffusion equations with hereditary memory and a new class of nonlinearities ⋮ Attractors for the nonclassical diffusion equations of Kirchhoff type with critical nonlinearity on unbounded domain

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