Attractors of the strongly damped Kirchhoff wave equation on \(\mathbb{R}^{N}\)

DOI10.3934/cpaa.2019040zbMath1497.37096OpenAlexW2898304307MaRDI QIDQ1633415

Pengyan Ding, Zhijian Yang

Publication date: 20 December 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019040

zbMATH Keywords

global attractorexponential attractorsupercritical nonlinearityKirchhoff wave equationweighted energy space

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) Critical exponents in context of PDEs (35B33) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (4)

Global existence and energy decay for a coupled system of Kirchhoff beam equations with weakly damping and logarithmic source ⋮ Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term ⋮ Long-time dynamics of Kirchhoff equations with exponential nonlinearities ⋮ Well-posedness and attractor for a strongly damped wave equation with supercritical nonlinearity on \(\mathbb{R}^N\)

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