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.
|Number of pages||13|
|Journal||Discrete and Continuous Dynamical Systems- Series A|
|Publication status||Published - 2013 Jan 1|
- Nonlinear Schrödinger equations
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics