Longtime dynamics for a class of strongly damped wave equations with variable exponent nonlinearities
DOI10.1007/s00245-024-10193-8MaRDI QIDQ6642497
Zhijian Yang, Ya-Mei Li, Ya-Nan Li
Publication date: 24 November 2024
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
global well-posednessstrongly damped wave equationcontinuity of the attractorspullback \(\mathscr{D}\)-attractorpullback \(\mathscr{D}\)-exponential attractorvariable exponent nonlinearity
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) 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) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Second-order quasilinear hyperbolic equations (35L72)
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