Abstract
In this study we consider the Cauchy problem for the nonlinear Schrödinger equations with data which belong to (Formula presented.)(Formula presented.) In particular, we discuss analytic smoothing effect with data which satisfy exponentially decaying condition at spatial infinity in (Formula presented.)(Formula presented.) We construct solutions in the function space of analytic vectors for the Galilei generator and the analytic Hardy space with the phase modulation operator based on (Formula presented.).
| Original language | English |
|---|---|
| Pages (from-to) | 1-20 |
| Number of pages | 20 |
| Journal | Journal of Fourier Analysis and Applications |
| DOIs | |
| Publication status | Accepted/In press - 2017 Sep 15 |
Keywords
- Analytic Hardy space
- Analytic smoothing effect
- Nonlinear Schrödinger equations
ASJC Scopus subject areas
- Analysis
- Mathematics(all)
- Applied Mathematics
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Cite this
Hoshino, G., & Hyakuna, R. (Accepted/In press). Analytic Smoothing Effect for the Nonlinear Schrödinger Equations Without Square Integrability. Journal of Fourier Analysis and Applications, 1-20. https://doi.org/10.1007/s00041-017-9562-6