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BLOW-UP SOLUTIONS FOR NON-SCALE-INVARIANT NONLINEAR SCHRÖDINGER EQUATION IN ONE DIMENSION.
- Source :
- Differential Equations & Applications; Feb2024, Vol. 16 Issue 1, p71-83, 13p
- Publication Year :
- 2024
-
Abstract
- In this paper, we consider the mass-critical nonlinear Schrödinger equation in one dimension. Ogawa-Tsutsumi [Proc. Amer. Math. Soc. 111 (1991), no. 2, 487-496] proved a blow-up result for negative energy solution by using a scaling argument for initial data. In general, a equation with a linear potential does not have a scale invariant, so the method by Ogawa-Tsutsumi cannot be used directly to that. In this paper, we prove a blow-up result for the equation with the linear potential by modifying the argument of Ogawa-Tsutsumi. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1847120X
- Volume :
- 16
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Differential Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 177543224
- Full Text :
- https://doi.org/10.7153/dea-2024-16-04