Abstract
We study the Cauchy problem for cubic Schrödinger equations modelling ultra-short laser pulses propagating along the line. The global existence, blow-up, and scattering of solutions is described exclusively in the charge space L 2(R) without any approximating arguments.
Original language | English |
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Pages (from-to) | 789-801 |
Number of pages | 13 |
Journal | Discrete and Continuous Dynamical Systems- Series A |
Volume | 33 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2013 |
Keywords
- Blow-up
- Nonlinear Schrödinger equations
- Scattering.
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics