Abstract
We prove the global existence of analytic solutions to the Cauchy problem for nonlinear Schrödinger equations in two dimensions, where the nonlinearity behaves as a cubic power at the origin and the Cauchy data are small and decay exponentially at infinity.
| Original language | English |
|---|---|
| Pages (from-to) | 609-618 |
| Number of pages | 10 |
| Journal | Osaka Journal of Mathematics |
| Volume | 51 |
| Issue number | 3 |
| Publication status | Published - 2014 Jul 1 |
ASJC Scopus subject areas
- Mathematics(all)