Translator Disclaimer
March/April 2018 Exponential stability for the defocusing semilinear Schrödinger equation with locally distributed damping on a bounded domain
César Augusto Bortot, Wellington José Corrêa
Differential Integral Equations 31(3/4): 273-300 (March/April 2018).

Abstract

In this paper, we study the exponential stability for the semilinear defocusing Schrödinger equation with locally distributed damping on a bounded domain $\Omega \subset \mathbb{R}^n$ with smooth boundary $\partial \Omega$. The proofs are based on a result of unique continuation property due to Cavalcanti et al. [15] and on a forced smoothing effect due to Aloui [2] combined with ideas from Cavalcanti et. al. [15], [16] adapted to the present context.

Citation

Download Citation

César Augusto Bortot. Wellington José Corrêa. "Exponential stability for the defocusing semilinear Schrödinger equation with locally distributed damping on a bounded domain." Differential Integral Equations 31 (3/4) 273 - 300, March/April 2018.

Information

Published: March/April 2018
First available in Project Euclid: 19 December 2017

zbMATH: 06837098
MathSciNet: MR3738199

Subjects:
Primary: 35B35, 35Q55

Rights: Copyright © 2018 Khayyam Publishing, Inc.

JOURNAL ARTICLE
28 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.31 • No. 3/4 • March/April 2018
Back to Top