GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND NONLINEAR BOUNDARY DAMPING-SOURCE INTERACTIONS

doi:10.1016/S0252-9602(15)30032-1

摘要/Abstract

摘要：

A viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources is considered in a bounded domain. Under appropriate assumptions imposed on the source and the damping, we establish uniform decay rate of the solution energy in terms of the behavior of the nonlinear feedback and the relaxation function, without setting any restrictive growth assumptions on the damping at the origin and weakening the usual assumptions on the relaxation function.

关键词: Balakrishnan-Taylor damping, global existence, general decay, relaxation function, viscoelastic equation

Abstract:

Key words: Balakrishnan-Taylor damping, global existence, general decay, relaxation function, viscoelastic equation

中图分类号:

35L70

吴舜堂. GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND NONLINEAR BOUNDARY DAMPING-SOURCE INTERACTIONS[J]. 数学物理学报(英文版), 2015, 35(5): 981-994.

Shun-Tang WU. GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING AND NONLINEAR BOUNDARY DAMPING-SOURCE INTERACTIONS[J]. Acta mathematica scientia,Series B, 2015, 35(5): 981-994.

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