Polynomial energy decay of a wave–Schrödinger transmission system

Boundary Value Problems

Chengqiang Wang¹ 

[1] School of Mathematics, Chengdu Normal University;

关键词: Wave–Schrödinger transmission system;    Polynomial energy decay;    Resolvent estimate;    Green’s functions;   

DOI  :  10.1186/s13661-018-0978-y

来源: DOAJ

【 摘 要 】

Abstract We study in this paper a wave–Schrödinger transmission system for its stability. By analyzing carefully Green’s functions for the infinitesimal generator of the semigroup associated with the system under consideration, we obtain a useful resolvent estimate on this generator which can be applied to derive the decaying property. Our study is inspired by L. Lu & J.-M. Wang [Appl. Math. Lett., 54:7–14, 2016] whose energy decay result is improved upon in our paper. Our method, different from the one used in the previous reference, can be adapted to study stability problems for other 1-D transmission systems.

【 授权许可】

Unknown