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Analytic smoothing effect for global solutions to nonlinear Schrödinger equations |
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| Authors: | T Ozawa K Yamauchi |
| Institution: | a Department of Applied Physics, Waseda University, Tokyo 169-8555, Japan b Department of Bussiness Administration, Sapporo University, Sapporo 062-8520, Japan |
| 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. |
| Keywords: | Nonlinear Schrö dinger equations Analytic smoothing effect Global solutions |
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