Schr Odinger算子的极大耗散扩张<sup>*</sup>

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Schr Odinger算子的极大耗散扩张^*

基金项目: * 国家自然科学基金

Department of Mathematics and Physics, jiangsu Institute of Technology, Zhenjiang, Jiangsu; LNM, Institute of Mechanics, Academia Sinica, Beijing

摘要: 本文研究Schrödinger算子的极大耗散扩张,引入广义不定度规空间,得到在自然边界空间中,Schrödinger算子极大耗散扩张表示形式,为进一步研究非线性Schrödinger方程无穷维动力系统的长期混沌行为作准备。
- 无穷维动力系统 /
- 非线性Schrödinger方程 /
- 不定度规空间 /
- 耗散算子
Abstract: In the present paper we study the maximum dissipative extension of Schrödinger operator.introduce the generalized indefinite metvic space and get the representation ofmaximum dissipative extension of Schrödinger operator in natural boundary space.make preparation for the further study longtime chaotic behaxior of infinite dimension dynamics system in nonlinear Schrödinger equation.
- infinite dimension dynamics system /
- nonlinear Schfrödinger equation /
- indefinite metric space /
- dissipative operator

[1]	Yan Yin,Attractors and dimensions for discretizations of a weakly damped Schrödinger equation and a Sine-Gorden equation,Nonlinear Analysis,TMA.20(12)(1993),1417-1452.
[2]	Soffer,A.,M ultich annel nonlinear scattering for nonintegrable equations,J.Differential Equation,98(1992),376-390.
[3]	Hayashi,Nakao,The initial value problem for the derivative nonlinear Schrödinger equation in the energy space,Nonlinear Analysis,TMA,20(7)(1993),923-833.
[4]	Helffer,B.,Semi-classical analysis for the Schrodinger operator and applications,Lecture Notes in Math.,1336,Springer Verlag(1988).
[5]	Wei Guo-qiang and Shen You-qiang,The generalized pnormal operators and phyponomal operators on Banach space,Chinese.Ann,Math.Ser B,9(1)(1987),70-79.
[6]	Langer,H,,Spectral functions of definitzable operators in K rein spaces,Lecture Notes in Math 948,Springer-Verlag(1984).1-46
[7]	Bongar,L.,Indefinite inner product spaces,Ergeb.Math.Grenzgeb,78,Springer-Verlan(1974).