Opuscula Mathematica
Opuscula Math. 41, no. 4 (2021), 465-488

Remarks on damped Schrödinger equation of Choquard type

Lassaad Chergui
Abstract. This paper is devoted to the Schrödinger-Choquard equation with linear damping. Global existence and scattering are proved depending on the size of the damping coefficient.
Keywords: damped Choquard equation, global existence, scattering, invariant sets.
Mathematics Subject Classification: 35Q55.
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About the authors ▼
Lassaad Chergui
Qassim University, Department of Mathematics, College of Science and Arts in Uglat Asugour, Kingdom of Saudia Arabia; University Tunis El-Manar, Department of Mathematics, Preparatory Institute for Engineering Studies, Elmanar, Campus, BP 244 CP 2092, Elmanar 2, Tunis, Tunisia
About the article ▼
Communicated by J.I. Díaz.
Received: 2020-08-03.
Revised: 2021-03-08.
Accepted: 2021-04-01.
Published online: 2021-07-09.
Cite this article as ▼
Lassaad Chergui, Remarks on damped Schrödinger equation of Choquard type, Opuscula Math. 41, no. 4 (2021), 465-488, https://doi.org/10.7494/OpMath.2021.41.4.465.
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