Email this article On the Nonlinear Schrödinger Equation with a Variable Damping Term
- Authors: Darwich M.1
-
Affiliations:
- Mathematics Departement, Lebanese University Faculty of Sciences
- Issue: Vol 39, No 9 (2018)
- Pages: 1327-1331
- Section: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203276
- DOI: https://doi.org/10.1134/S1995080218090378
- ID: 203276
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Abstract
We consider the L2-critical nonlinear Schrödinger equation with an inhomogeneous damping coefficient a(x). We prove the global existence of the solution in H1(Rd) and we give the minimal time of the blow up for some initial data.
About the authors
Mohamad Darwich
Mathematics Departement, Lebanese University Faculty of Sciences
Author for correspondence.
Email: Mohamad.Darwich@lmpt.univ-tours.fr
Lebanon, Hadath
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