Analytic smoothing effect for solutions to schrödinger equations with nonlinearity of integral type

T. Ozawa; K. Yamauchi; Y. Yamazaki

Analytic smoothing effect for solutions to schrödinger equations with nonlinearity of integral type

T. Ozawa^*, K. Yamauchi, Y. Yamazaki

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We study analytic smoothing effects for solutions to the Cauchy problem for the Schrödinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. The only assumption on the Cauchy data is the weight condition of exponential type and no regularity assumption is imposed.

Original language	English
Pages (from-to)	737-750
Number of pages	14
Journal	Osaka Journal of Mathematics
Volume	42
Issue number	4
Publication status	Published - 2005 Dec 1
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

Cite this

@article{bf881f60d3a541fcb0c9c7a53515d0a9,

title = "Analytic smoothing effect for solutions to schr{\"o}dinger equations with nonlinearity of integral type",

abstract = "We study analytic smoothing effects for solutions to the Cauchy problem for the Schr{\"o}dinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. The only assumption on the Cauchy data is the weight condition of exponential type and no regularity assumption is imposed.",

author = "T. Ozawa and K. Yamauchi and Y. Yamazaki",

year = "2005",

month = dec,

day = "1",

language = "English",

volume = "42",

pages = "737--750",

journal = "Osaka Journal of Mathematics",

issn = "0030-6126",

publisher = "Osaka University",

number = "4",

}

TY - JOUR

T1 - Analytic smoothing effect for solutions to schrödinger equations with nonlinearity of integral type

AU - Ozawa, T.

AU - Yamauchi, K.

AU - Yamazaki, Y.

PY - 2005/12/1

Y1 - 2005/12/1

N2 - We study analytic smoothing effects for solutions to the Cauchy problem for the Schrödinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. The only assumption on the Cauchy data is the weight condition of exponential type and no regularity assumption is imposed.

AB - We study analytic smoothing effects for solutions to the Cauchy problem for the Schrödinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. The only assumption on the Cauchy data is the weight condition of exponential type and no regularity assumption is imposed.

UR - http://www.scopus.com/inward/record.url?scp=33644534164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644534164&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33644534164

SN - 0030-6126

VL - 42

SP - 737

EP - 750

JO - Osaka Journal of Mathematics

JF - Osaka Journal of Mathematics

IS - 4

ER -

Analytic smoothing effect for solutions to schrödinger equations with nonlinearity of integral type

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this