Stabilization of transmission coupled wave and Euler-Bernoulli equations on Riemannian manifolds by nonlinear feedbacks

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:422

Article

Zhang, Wen¹  Zhang, Zhifei² 

[1] Xiamen Univ, Dept Math Sci, Xiamen 361005, Peoples R China

[2] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

关键词: Energy decay;    Transmission problem;    Nonlinear boundary feedback;    Geometric multiplier method;   

DOI  :  10.1016/j.jmaa.2014.09.044

来源: Elsevier

【 摘 要 】

We consider the transmission system of coupling wave equations with Euler Bernoulli equations on Riemannian manifolds. By introducing nonlinear boundary feedback controls, we establish the exponential and rational energy decay rate for the problem. Our proofs rely on the geometric multiplier method. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free