Estimates on the dimension of a global attractor for a semilinear dissipative wave equation on \(\mathbb{R}^N\)

DOI10.3934/DCDS.2002.8.939zbMath1010.35074OpenAlexW1983201977MaRDI QIDQ1848985

Nikolaos M. Stavrakakis, Nikos I. Karachalios

Publication date: 8 May 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2002.8.939

zbMATH Keywords

Hausdorff dimension

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) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

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Attractors of the strongly damped Kirchhoff wave equation on \(\mathbb{R}^{N}\) ⋮ Estimate on the dimension of global attractor for nonlinear dissipative Kirchhoff equation ⋮ Central manifold theory for the generalized equation of Kirchhoff strings on \(\mathbb R^N\) ⋮ Global and blow-up solutions for a system of nonlinear hyperbolic equations with dissipative terms ⋮ Well-posedness and attractor for a strongly damped wave equation with supercritical nonlinearity on \(\mathbb{R}^N\) ⋮ Compact invariant sets for some quasilinear nonlocal Kirchhoff strings on ℝ^N ⋮ Estimates on the dimension of an attractor for a nonclassical hyperbolic equation

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