The Nonlinear Schr\"odinger-Airy equation in weighted Sobolev spaces
Abstract
We study the persistence property of the solution for the nonlinear Schr\"odinger-Airy equation with initial data in the weighted Sobolev space H1/4(R) L2(|x|2mdx), 0<m ≤ 1/8, via the contraction principle.
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