TY - JOUR
T1 - Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity
AU - Hoshino, Gaku
AU - Ozawa, Tohru
N1 - Funding Information:
The authors are grateful to the referee for important remarks. This work is supported by part by Grants for Excellent Graduate Schools, MEXT , Japan.
PY - 2014/11/1
Y1 - 2014/11/1
N2 - We prove the global existence of analytic solutions to nonlinear Schrödinger equation with quintic nonlinearity in n space dimensions for sufficiently small Cauchy data with exponential decay. The smallness assumption on the data is imposed in terms of the critical Sobolev space Ḣn/2-1/2. Moreover, a characterization of some class of analytic functions is given.
AB - We prove the global existence of analytic solutions to nonlinear Schrödinger equation with quintic nonlinearity in n space dimensions for sufficiently small Cauchy data with exponential decay. The smallness assumption on the data is imposed in terms of the critical Sobolev space Ḣn/2-1/2. Moreover, a characterization of some class of analytic functions is given.
KW - Analytic smoothing effect
KW - Nonlinear Schrödinger equation
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U2 - 10.1016/j.jmaa.2014.04.057
DO - 10.1016/j.jmaa.2014.04.057
M3 - Article
AN - SCOPUS:84902370643
SN - 0022-247X
VL - 419
SP - 285
EP - 297
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -