THE MAXIMUM DISSIPATIVE EXTENSION OFSCHRODINGER OPERATOR

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (10): 973-980.

THE MAXIMUM DISSIPATIVE EXTENSION OFSCHRODINGER OPERATOR

田立新

Department of Mathematics and Physics, Jiangsu Institute of Technology, Zhengjiang, Jiangsu

收稿日期:1993-11-22 出版日期:1994-10-18 发布日期:1994-10-18
基金资助:
Project supported by the National Natural Science Fundation of China

THE MAXIMUM DISSIPATIVE EXTENSION OFSCHRODINGER OPERATOR

Tian Li-xin

Department of Mathematics and Physics, Jiangsu Institute of Technology, Zhengjiang, Jiangsu

Received:1993-11-22 Online:1994-10-18 Published:1994-10-18
Supported by:
Project supported by the National Natural Science Fundation of China

摘要/Abstract

摘要： In the present paper we study the maximum dissipative extension of Schrodingeroperator.introduce the generalized indefinite metvic space and get the representation ofmaximum dissipative extension of Schrodinger operator in natural boundary space.make preparation for the further study longtime chaotic behaxior of infinite dimensiondynamics system in nonlinear Schrodinger equation.

关键词: heat conduction, nonlinear, similar solution, infinite dimension dynamics system, nonlinear Schfrodingerequation, indefinite metric space, dissipative operator

Abstract: In the present paper we study the maximum dissipative extension of Schrodingeroperator.introduce the generalized indefinite metvic space and get the representation ofmaximum dissipative extension of Schrodinger operator in natural boundary space.make preparation for the further study longtime chaotic behaxior of infinite dimensiondynamics system in nonlinear Schrodinger equation.

Key words: heat conduction, nonlinear, similar solution, infinite dimension dynamics system, nonlinear Schfrodingerequation, indefinite metric space, dissipative operator

田立新. THE MAXIMUM DISSIPATIVE EXTENSION OFSCHRODINGER OPERATOR[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(10): 973-980.

Tian Li-xin. THE MAXIMUM DISSIPATIVE EXTENSION OFSCHRODINGER OPERATOR[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(10): 973-980.

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THE MAXIMUM DISSIPATIVE EXTENSION OFSCHRODINGER OPERATOR

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