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1. Pullback Attractors for a Damped Semilinear Wave Equation with Delays.

Author

Zhu, Kai Xuan, Xie, Yong Qin, and Zhou, Feng

Subjects
*WAVE equation, *NONLINEAR theories, *ATTRACTORS (Mathematics), *MATHEMATICAL functions, *MATHEMATICS
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) by constructing the energy functional and combining with the idea of the contractive function. [ABSTRACT FROM AUTHOR]

Published
2018
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