Abstract
We consider the Cauchy problem for a quadratic nonlinear Schrödinger equation in the case of odd initial data from H2 ∩ H0, 2. We prove the global existence in time of solutions to the Cauchy problem and construct the modified asymptotics for large values of time.
Original language | English |
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Pages (from-to) | 146-158 |
Number of pages | 13 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 359 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2009 Nov 1 |
Externally published | Yes |
Keywords
- Asymptotics of solutions
- Nonlinear Schrödinger equations
ASJC Scopus subject areas
- Analysis
- Applied Mathematics