A REMARK ON DECAY RATES OF SOLUTIONS FOR A SYSTEM OF QUADRATIC NONLINEAR SCHRODINGER EQUATIONS IN 2D

作者：Katayama Soichiro^*; Li Chunhua; Sunagawa Hideaki

来源：Differential and Integral Equations, 2014, 27(3-4): 301-312.

We consider the initial value problem for a three-component system of quadratic nonlinear Schrodinger equations with mass resonance in two space dimensions. Under a suitable condition on the coefficients of the nonlinearity, we will show that the solution decays strictly faster than O(t(-1)) as t -> +infinity in L-infinity by providing an enhanced decay estimate of order O((t log t)(-1)). Differently from the previous works, our approach does not rely on the explicit form of the asymptotic profile of the solution at all.

• 出版日期2014-4
• 单位延边大学