Title :
Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system
Author :
Hayashi, Nakao ; Uchida, Hidetake ; Naumkin, Pavel
Author_Institution :
Dept. of Appl. Math., Sci. Univ. of Tokyo, Japan
Abstract :
We study the elliptic-hyperbolic Davey-Stewartson equation which is considered as a nonlocal nonlinear Schrodinger equation with nonlinearities involving derivatives of unknown function in two space dimensions. We show that solutions become analytic for any t≠0 with respect to x if the data are small and decay exponentially when |x|→∞
Keywords :
Schrodinger equation; inverse problems; solitons; water waves; analytic smoothing effect; elliptic hyperbolic Davey-Stewartson system; global existence; nonlinearities; nonlocal nonlinear Schrodinger equation; two space dimensions; weakly nonlinear water waves; Amplitude modulation; Diffraction; Inverse problems; Mathematics; Nonlinear equations; Schrodinger equation; Smoothing methods; Solitons; Strips;
Conference_Titel :
Day on Diffraction, 1999. Proceedings. International Seminar
Conference_Location :
St. Petersburg
Print_ISBN :
5-7997-0156-9
DOI :
10.1109/DD.1999.816184
