Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation Nakao Hayashi; Pavel I. Naumkin — 1998 Annales de l'I.H.P. Physique théorique
On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations Nakao Hayashi; Keiichi Kato; Pavel I. Naumkin — 1998 Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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]
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]
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
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