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 |
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Keywords
- Analytic Hardy space
- Analytic smoothing effect
- Nonlinear Schrödinger equations
ASJC Scopus subject areas
- Analysis
- Mathematics(all)
- Applied Mathematics
Cite this
Analytic Smoothing Effect for the Nonlinear Schrödinger Equations Without Square Integrability. / Hoshino, Gaku; Hyakuna, Ryosuke.
In: Journal of Fourier Analysis and Applications, 15.09.2017, p. 1-20.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Analytic Smoothing Effect for the Nonlinear Schrödinger Equations Without Square Integrability
AU - Hoshino, Gaku
AU - Hyakuna, Ryosuke
PY - 2017/9/15
Y1 - 2017/9/15
N2 - 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.).
AB - 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.).
KW - Analytic Hardy space
KW - Analytic smoothing effect
KW - Nonlinear Schrödinger equations
UR - http://www.scopus.com/inward/record.url?scp=85029479475&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85029479475&partnerID=8YFLogxK
U2 - 10.1007/s00041-017-9562-6
DO - 10.1007/s00041-017-9562-6
M3 - Article
AN - SCOPUS:85029479475
SP - 1
EP - 20
JO - Journal of Fourier Analysis and Applications
JF - Journal of Fourier Analysis and Applications
SN - 1069-5869
ER -