Article ID Journal Published Year Pages File Type
6419178 Journal of Mathematical Analysis and Applications 2013 9 Pages PDF
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
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