Research Member   Nakao   Hayashi   (林仲夫)

Professor at Department of Mathematics, Graduate School of Science, Osaka University E-mail：  @

Personal History

1984 Assistant at Departiment of Applied Physics, Waseda University
1988 Assistant Professor at Faculty of Engineering, Gumma University
1995 Assistant Professor at Department of Mathematics, Tokyo University of Science
1999 Professor at Department of Mathematics, Tokyo University of Science
2001 Professor at Department of Mathematics, Graduate School of Science, Osaka University

Research Area

Asymptotic analysis of solution to nonlinear dispersive and wave equations

Selected Publications

• [1] (-K.Nakamitsu and M.Tsutsumi) On solutions of the initial value problem for nonlinear Schroedinger equations, J. Funct. Anal., 71(1987), pp. 218-245.
• [2] Global existence of small analytic solutions to nonlinear Schoedinger equations, Duke Math. J.,60(1990), pp.717-727.
• [3] Global existence of small solutions to quadratic nonlinear wave equations in an exterior domain, J.Funct. Anal., 131 (1995), pp. 302-344.
• [4] (- P.I.Naumkin), Asymptotics in large time of solutions to nonlinear Schroedinger and Hartree equations, Amer. J. Math., 120(1998), pp. 369-389.
• [5] (- P.I.Naumkin), Domain and range of the modified wave operator for Schroedinger equations with a critical nonlinearity, Comm. Math. Phys., 267(2006), pp. 477-492.

Preprint

[1] N.Hayashi, J. A. Mendez-Navarro and P. Naumkin, Scattering of solutions to the fourth-order nonlinear Schroedinger equation.

[2] N.Hayashi and P. Naumkin, Factorization technique for the fourth-order nonlinear Schroedinger equation.

[3] N.Hayashi, P. Naumkin and T.Ogawa, Scattering operator for semirelativistic Hartree type equation with a short range potential, to appear in DIE.

[4] N.Hayashi and P. Naumkin, Large time asymptotics for the fractional order cubic nonlinear Schroedinger equations.

[5] N.Hayashi and P. Naumkin, On the inhomogeneous fourth-order nonlinear Schroedinger equation.

[6] N.Hayashi, C. Li and P.I. Naumkin, Nonlinear Schroedinger systems in 2d with nondecaying final data.

Personal website: http://www.math.sci.osaka-u.ac.jp/~nhayashi/

MathSciNet：http://www.ams.org/mathscinet/search/author.html?mrauthid=230648

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