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- Title
Pullback Attractors for a Damped Semilinear Wave Equation with Delays.
- Authors
Zhu, Kai Xuan; Xie, Yong Qin; Zhou, Feng
- Abstract
In this paper, we consider the weakly damped wave equations with hereditary effects, and the nonlinearity f satisfies critical growth. The delay term g(t, ut) may be driven by a function with very weak assumptions, namely, just measurability. We analyze the well-posedness of solutions and verify the existence of the pullback D-attractor in CH01(Ω)×CL2(Ω)<inline-graphic></inline-graphic> by constructing the energy functional and combining with the idea of the contractive function.
- Subjects
WAVE equation; NONLINEAR theories; ATTRACTORS (Mathematics); MATHEMATICAL functions; MATHEMATICS
- Publication
Acta Mathematica Sinica, 2018, Vol 34, Issue 7, p1131
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-018-7420-3