Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619579 | Journal of Mathematical Analysis and Applications | 2010 | 6 Pages |
Abstract
We prove the global existence of analytic solutions to the Cauchy problem for the cubic Schrödinger equation in space dimension n⩾3 for sufficiently small data with exponential decay at infinity. Minimal regularity assumption regarding scaling invariance is imposed on the Cauchy data.
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