Acta mathematica scientia,Series A

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Global Existence and Uniform Decay Rates of Solutions for a Class of Strongly Damped Wave Equations

Fang Daoyuan ; Xu Jiang   

  1. Department of Mathematics, Zhejiang University, Hangzhou 310027
  • Received:2004-12-30 Revised:2006-05-10 Online:2006-10-25 Published:2006-10-25
  • Contact: Fang Daoyuan

Abstract:

In this paper the authors study the existence and uniqueness of global strong solutions and global weak solutions for a class of strongly damped wave equations with nonlinear source term and nonlinear boundary damping term. The authors also discuss the uniform decay of solutions.

Key words: Strongly damped, Faedo-Gal\"erkin, Uniform decay, Potential well

CLC Number: 

  • 35L20
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