Open Access
October, 2019 Optimal Energy Decay for a Transmission Problem of Waves Under a Nonlocal Boundary Control
Halim Atoui, Abbes Benaissa
Taiwanese J. Math. 23(5): 1201-1225 (October, 2019). DOI: 10.11650/tjm/190108

Abstract

In this paper, we consider a transmission problem in the presence of a boundary control condition of nonlocal type. We prove well-posedness by using the semigroup theory. Also we establish an optimal decay result by frequency domain method and Borichev-Tomilov theorem.

Citation

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Halim Atoui. Abbes Benaissa. "Optimal Energy Decay for a Transmission Problem of Waves Under a Nonlocal Boundary Control." Taiwanese J. Math. 23 (5) 1201 - 1225, October, 2019. https://doi.org/10.11650/tjm/190108

Information

Received: 25 September 2018; Revised: 11 January 2019; Accepted: 27 January 2019; Published: October, 2019
First available in Project Euclid: 20 February 2019

zbMATH: 07126945
MathSciNet: MR4012376
Digital Object Identifier: 10.11650/tjm/190108

Subjects:
Primary: 35B40 , 47D03 , 74D05 , 93D15

Keywords: boundary dissipation of nonlocal type , frequency domain method , optimal polynomial stability , transmission problem of waves

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

Vol.23 • No. 5 • October, 2019
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