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- W1497281661 abstract "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 $t to +infty$ in $L^{infty}$ by providing with 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." @default.
- W1497281661 created "2016-06-24" @default.
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- W1497281661 date "2013-04-04" @default.
- W1497281661 modified "2023-09-28" @default.
- W1497281661 title "A remark on decay rates of solutions for a system of quadratic nonlinear Schrodinger equations in 2D" @default.
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- W1497281661 doi "https://doi.org/10.48550/arxiv.1304.1588" @default.
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