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On the nonlinear
regularized Schrödinger equation in exterior domains
Mohamed Karmous and Moez Khenissi |
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Vol. 3 (2021), No. 2, 361–393
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Abstract |
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In this paper, we will establish, in two and three dimensions, the local well-posedness result in of the nonlinear regularized Schrödinger equation using the Strichartz estimates for the regularized Schrödinger equation on exterior domains established previously. Then, we will prove, the global existence and uniqueness result in . |
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Keywords
nonlinear Schrödinger equation, exterior domain, exterior
geometric control condition, Kato smoothing effect,
Strichartz estimates
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Mathematical Subject Classification 2010
Primary: 35B20, 35B65, 35Q41, 35Q55, 47H10
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Milestones
Received: 3 October 2019
Revised: 22 April 2020
Accepted: 19 May 2020
Published: 5 December 2020
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Authors |
| Mohamed Karmous | |
| École Supérieure des Sciences et de
Technologie de Hammam Sousse Universite de Sousse Tunisia |
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| Moez Khenissi | |
| École Supérieure des Sciences et de
Technologie de Hammam Sousse Universite de Sousse Tunisia |
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