Polynomial energy decay of a wave–Schrödinger transmission system

Polynomial energy decay of a wave–Schrödinger transmission system

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 app...

Full description

Bibliographic Details
Main Author: Chengqiang Wang
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Boundary Value Problems
Subjects:
Wave–Schrödinger transmission system
Polynomial energy decay
Resolvent estimate
Green’s functions
Online Access:http://link.springer.com/article/10.1186/s13661-018-0978-y
id doaj-db938b3cc0ac4f68a3da942ea2d063c2
record_format Article
spelling doaj-db938b3cc0ac4f68a3da942ea2d063c22020-11-25T01:01:34ZengSpringerOpenBoundary Value Problems1687-27702018-04-012018111410.1186/s13661-018-0978-yPolynomial energy decay of a wave–Schrödinger transmission systemChengqiang Wang0School of Mathematics, Chengdu Normal UniversityAbstract 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.http://link.springer.com/article/10.1186/s13661-018-0978-yWave–Schrödinger transmission systemPolynomial energy decayResolvent estimateGreen’s functions
collection DOAJ
language English
format Article
sources DOAJ
author Chengqiang Wang
spellingShingle Chengqiang Wang
Polynomial energy decay of a wave–Schrödinger transmission system
Boundary Value Problems
Wave–Schrödinger transmission system
Polynomial energy decay
Resolvent estimate
Green’s functions
author_facet Chengqiang Wang
author_sort Chengqiang Wang
title Polynomial energy decay of a wave–Schrödinger transmission system
title_short Polynomial energy decay of a wave–Schrödinger transmission system
title_full Polynomial energy decay of a wave–Schrödinger transmission system
title_fullStr Polynomial energy decay of a wave–Schrödinger transmission system
title_full_unstemmed Polynomial energy decay of a wave–Schrödinger transmission system
title_sort polynomial energy decay of a wave–schrödinger transmission system
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2770
publishDate 2018-04-01
description 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.
topic Wave–Schrödinger transmission system
Polynomial energy decay
Resolvent estimate
Green’s functions
url http://link.springer.com/article/10.1186/s13661-018-0978-y
work_keys_str_mv AT chengqiangwang polynomialenergydecayofawaveschrodingertransmissionsystem
_version_ 1725208522490118144

Similar Items