Hayashi, Nakao Analytic function spaces and their applications to nonlinear evolution equations. (English) Zbl 0996.35063 Saitoh, Saburou (ed.) et al., Analytic extension formulas and their applications. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 9, 59-72 (2001). Reviewer: Igor Andrianov (Köln) MSC: 35Q53 35Q55 35B65 46N20 PDFBibTeX XMLCite \textit{N. Hayashi}, Int. Soc. Anal. Appl. Comput. 9, 59--72 (2001; Zbl 0996.35063)
Hayashi, Nakao; Naumkin, Pavel I. Global existence of small solutions to the quadratic nonlinear Schrödinger equations in two space dimensions. (English) Zbl 0979.35133 SIAM J. Math. Anal. 32, No. 6, 1390-1403 (2001). MSC: 35Q55 35A05 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{P. I. Naumkin}, SIAM J. Math. Anal. 32, No. 6, 1390--1403 (2001; Zbl 0979.35133) Full Text: DOI
Uchida, Hidetake; Hayashi, Nakao On the analyticity of solutions to Davey-Stewartson equations. (Japanese) Zbl 0968.35522 RIMS Kokyuroku 1155, 49-59 (2000). MSC: 35Q55 35A20 PDFBibTeX XMLCite \textit{H. Uchida} and \textit{N. Hayashi}, RIMS Kokyuroku 1155, 49--59 (2000; Zbl 0968.35522)
Hayashi, Nakao Analytic functions and their application to nonlinear evolution equations. (English) Zbl 0968.35521 RIMS Kokyuroku 1155, 184-193 (2000). MSC: 35Q55 35A20 35Q53 PDFBibTeX XMLCite \textit{N. Hayashi}, RIMS Kokyuroku 1155, 184--193 (2000; Zbl 0968.35521)
Hayashi, Nakao; Kato, Keiichi Analyticity in time and smoothing effect of solutions to nonlinear Schrödinger equations. (English) Zbl 0871.35087 Commun. Math. Phys. 184, No. 2, 273-300 (1997). MSC: 35Q55 35B65 30B40 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{K. Kato}, Commun. Math. Phys. 184, No. 2, 273--300 (1997; Zbl 0871.35087) Full Text: DOI
Hayashi, Nakao; Saitoh, Saburou Analyticity and smoothing effect for the Schrödinger equation. (English) Zbl 0731.35047 Ann. Inst. Henri Poincaré, Phys. Théor. 52, No. 2, 163-173 (1990). Reviewer: M.-T.Lacroix (Saone) MSC: 35G10 35K25 35B65 35B45 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{S. Saitoh}, Ann. Inst. Henri Poincaré, Phys. Théor. 52, No. 2, 163--173 (1990; Zbl 0731.35047) Full Text: Numdam EuDML
Hayashi, Nakao Global existence of small analytic solutions to nonlinear Schrödinger equations. (English) Zbl 0721.35026 Duke Math. J. 60, No. 3, 717-727 (1990). Reviewer: K.Hawlitschek (Ulm) MSC: 35K55 35B65 35Q55 PDFBibTeX XMLCite \textit{N. Hayashi}, Duke Math. J. 60, No. 3, 717--727 (1990; Zbl 0721.35026) Full Text: DOI