Convergence of non-autonomous attractors for subquintic weakly damped wave equation

DOI10.1007/s00245-021-09790-8zbMath1482.37084arXiv2101.06523OpenAlexW3170365971MaRDI QIDQ2238983

Jakub Banaśkiewicz, Piotr Kalita

Publication date: 2 November 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.06523

zbMATH Keywords

Strichartz estimatesweakly damped wave equationcocycle attractorsShatah-Struwe solutions

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65)

Cites Work

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• Attractors for damped quintic wave equations in bounded domains
• Attractors for infinite-dimensional non-autonomous dynamical systems
• Strichartz estimates for the wave equation on manifolds with boundary
• Damped wave equations with fast growing dissipative nonlinearities
• Regular attractors of semigroups and evolution equations
• Attractors for damped nonlinear hyperbolic equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization
• Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations
• Exponential attractors for weakly damped wave equation with sub-quintic nonlinearity
• Pullback attractor for a weakly damped wave equation with sup-cubic nonlinearity
• Uniform attractors for a weakly damped wave equation with sup-cubic nonlinearity
• Strichartz estimates and smooth attractors for a sub-quintic wave equation with fractional damping in bounded domains
• Well-posedness and attractors for a super-cubic weakly damped wave equation with \(H^{-1}\) source term
• Structure of attractors for skew product semiflows
• A remark on the damped wave equation
• RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES
• Uniform attractors for measure-driven quintic wave equations
• Long-time behavior of second order evolution equations with nonlinear damping
• Global existence for energy critical waves in 3-d domains
• A damped hyerbolic equation with critical exponent
• Global strichartz estimates for nonthapping perturbations of the laplacian
• Attractors Under Autonomous and Non-autonomous Perturbations
• Uniform attractors of dynamical processes and non-autonomous equations of mathematical physics
• Smooth attractors for the quintic wave equations with fractional damping

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