The existence of global solutions to the elliptic-hyperbolic Davey-Stewartson system with small initial data Hayashi, Nakao; Hirata, Hitoshi — 1998 Proceedings of Equadiff 9
Global existence and asymptotic behavior in time of small solutions to the elliptic-hyperbolic Davey-Stewartson system. Hayashi, Nakao; Hirata, Hitoshi — 1997 Matematichki Vesnik
Asymptotic behaviour for Schrödinger equations with a quadratic nonlinearity in one-space dimension. Hayashi, Nakao; Naumkin, Pavel I. — 2001 Electronic Journal of Differential Equations (EJDE) [electronic only]
Benjamin-Ono equation on a half-line. Hayashi, Nakao; Kaikina, Elena I. — 2010 International Journal of Mathematics and Mathematical Sciences
The initial value problem for the quadratic nonlinear Klein-Gordon equation. Hayashi, Nakao; Naumkin, Pavel I. — 2010 Advances in Mathematical Physics
Asymptotic behavior for a quadratic nonlinear Schrödinger equation. Hayashi, Nakao; Naumkin, Pavel I. — 2008 Electronic Journal of Differential Equations (EJDE) [electronic only]
Asymptotics for nonlinear damped wave equations with large initial data. Hayashi, Nakao; Kaikina, E.I.; Naumkin, P.I. — 2007 Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two-dimensional spaces. Hayashi, Nakao; Naumkin, Pavel I. — 2002 International Journal of Mathematics and Mathematical Sciences
Global existence of small radially symmetric solutions to quadratic nonlinear evolution equations in an exterior domain. Nakao Hayashi — 1994 Mathematische Zeitschrift
Global existence of small radially symmetric solutions to quadratic nonlinear wave equations in an exterior domain. Nakao Hayashi — 1993 Manuscripta mathematica
Time decay of solutions to the Schrödinger equation in exterior domains. II Nakao Hayashi — 1989 Annales de l'I.H.P. Physique théorique
Time decay of solutions to the Schrödinger equation in exterior domains. I Nakao Hayashi — 1989 Annales de l'I.H.P. Physique théorique
Local existence in time of small solutions to the Davey-Stewartson systems Nakao Hayashi — 1996 Annales de l'I.H.P. Physique théorique
Smoothing effect of small analytic solutions to nonlinear Schrödinger equations Nakao Hayashi — 1992 Annales de l'I.H.P. Physique théorique
Modified wave operators for nonlinear Schrödinger equations in one and two dimensions. Hayashi, Nakao; Naumkin, Pavel I.; Shimomura, Akihiro; Tonegawa, Satoshi — 2004 Electronic Journal of Differential Equations (EJDE) [electronic only]
Asymptotics for critical nonconvective type equations. Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I. — 2004 International Journal of Mathematics and Mathematical Sciences
Classical Solutions of Nonlinear Schrödinger Equations in Higher Dimensions. Nakao Hayashi; Masayoshi Tsutsumi — 1981 Mathematische Zeitschrift
Modified wave operators for the derivative nonlinear Schrödinger equation. Nakao Hayashi; Tohru Ozawa — 1994 Mathematische Annalen