Existence and upper semi-continuity of pullback attractors of a p-Laplacian equation with delay

DOI10.1063/1.5000076zbMath1375.35051OpenAlexW2745376062MaRDI QIDQ5357564

Xianlong Fu, Linfang Liu

Publication date: 11 September 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5000076

zbMATH Keywords

Galerkin approximations

Mathematics Subject Classification ID

Attractors (35B41) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear parabolic equations with (p)-Laplacian (35K92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation ⋮ Dynamics and robustness for the 2D Navier–Stokes equations with multi-delays in Lipschitz-like domains ⋮ Dynamics of multi-valued retarded p-Laplace equations driven by nonlinear colored noise ⋮ Continuity properties of pullback and pullback exponential attractors for non-autonomous plate with \(p\)-Laplacian ⋮ Pullback attractors for p-Laplacian equations with delays

Cites Work

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• Dynamics of the non-autonomous stochastic \(p\)-Laplace equation driven by multiplicative noise
• Existence, uniqueness and asymptotic behavior of solutions for a nonclassical diffusion equation with delay
• Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains
• Attractors for 2D-Navier-Stokes models with delays
• Autonomous and non-autonomous attractors for differential equations with delays
• Pullback attractors in \(V\) for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour
• Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain
• Existence of a global attractor for a \(p\)-Laplacian equation in \(\mathbb {R}^n\)
• Introduction to functional differential equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Asymptotic behavior of a class of reaction--diffusion equations with delays
• Theory and applications of partial functional differential equations
• Existence and upper semicontinuity of pullback attractors for non-autonomous \(p\)-Laplacian parabolic problems
• Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms
• Attractors for 2D-Navier-Stokes equations with delays on some unbounded domains
• Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations
• Attractors for differential equations with unbounded delays
• Pullback attractors for a nonautonomous nonclassical diffusion equation with variable delay
• Pullback attractors for nonclassical diffusion equations with delays
• Upper semicontinuity of attractors for small random perturbations of dynamical systems
• Random Attractors for Delay Parabolic Equations with Additive Noise and Deterministic Nonautonomous Forcing
• An Optimal Matching Problem for the Euclidean Distance
• Nonlinear partial functional differential equations: Existence and stability

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