Tian Li-xin. The Maximum Dissipative Extension of Schrödinger Operator[J]. Applied Mathematics and Mechanics, 1994, 15(10): 919-926.
Citation: Tian Li-xin. The Maximum Dissipative Extension of Schrödinger Operator[J]. Applied Mathematics and Mechanics, 1994, 15(10): 919-926.

The Maximum Dissipative Extension of Schrödinger Operator

  • Received Date: 1993-11-22
  • Publish Date: 1994-10-15
  • 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.
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  • [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).
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