Existence of compact \( \varphi \)-attracting sets and estimate of their attractive velocity for infinite-dimensional dynamical systems

DOI10.3934/dcdsb.2022051zbMath1498.35105OpenAlexW4225487091MaRDI QIDQ2082000

Chunyan Zhao, Xiangming Zhu, Cheng-Kui Zhong

Publication date: 30 September 2022

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2022051

zbMATH Keywords

wave equationcritical nonlinearity\( \varphi \)-decay with respect to noncompactness measureattractive velocitycompact \( \varphi \)-attracting set

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

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