Global well-posedness and attractor for damped wave equation with sup-cubic nonlinearity and lower regular forcing on \(\mathbb{R}^3\)

DOI10.12775/TMNA.2016.088zbMath1370.35194MaRDI QIDQ2403353

Fengjuan Meng, Cuncai Liu

Publication date: 8 September 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1489457028

zbMATH Keywords

unbounded domainglobal attractorStrichartz estimatedamped wave equationlower regularity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Wave equation (35L05)

Related Items (4)

Dynamics of the BBM equation with a distribution force in low regularity spaces ⋮ Well-posedness and attractors for a super-cubic weakly damped wave equation with \(H^{-1}\) source term ⋮ Strong global attractor for weakly damped wave equation with sub-quintic nonlinearity ⋮ Strong attractors for weakly damped quintic wave equation in bounded domains

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