Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419178 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
Abstract
We give examples of small data blow-up for a three-component system of quadratic nonlinear Schrödinger equations in one space dimension. Our construction of the blowing-up solution is based on the Hopf-Cole transformation, which allows us to reduce the problem to getting suitable growth estimates for a solution to the transformed system. Amplification in the reduced system is shown to have a close connection with the mass resonance.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tohru Ozawa, Hideaki Sunagawa,