研究分担者 林 仲夫  (Nakao Hayashi)

大阪大学大学院 　理学研究科　教授 E-mail：  @

略歴

1984年 早稲田大学応用物理学科助手
1988年 群馬大学工学部助教授
1995年 東京理科大学理学部応用数学科助教授
1999年 東京理科大学理学部応用数学科教授
2001年 大阪大学大学院理学研究科教授

研究内容

非線形分散型波動方程式の解に関する漸近解析の研究

主な業績

• [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.

プレプリントなど

[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.

個人ページ：

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

MathSciNet：

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

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