NONLINEAR SCHRODINGER-EQUATIONS IN THE SOBOLEV SPACE OF CRITICAL ORDER

Authors
NAKAMURA M OZAWA T
Citation
M. Nakamura et T. Ozawa, NONLINEAR SCHRODINGER-EQUATIONS IN THE SOBOLEV SPACE OF CRITICAL ORDER, Journal of functional analysis, 155(2), 1998, pp. 364-380
Citations number
26
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of functional analysis → ACNP
ISSN journal
00221236
Volume
155
Issue
2
Year of publication
1998
Pages
364 - 380
Database
ISI
SICI code
0022-1236(1998)155:2<364:NSITSS>2.0.ZU;2-J
Abstract
The Cauchy problem for the nonlinear Schrodinger equations is consider ed in the Sobolev space H-n/2(R-n) of critical order n/2, where the em bedding into L-infinity(R-n) breaks down and any power behavior of int eraction works as a subcritical nonlinearity. Under the interaction of exponential type the existence and uniqueness is proved far global H- n/2-solutions with small Cauchy data. (C) 1998 Academic Press.