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The maximum dissipative extension of Schrödinger operator

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Abstract

In the present paper we study the maximum dissipative extension of Schrödinger operator, introduce the generalized indefinite metric space and get the representation of maximum dissipative extension of Schrödinger operator in natural boundary space, make preparation for the further study longtime chaotic behavior of infinite dimension dynamic system in nonlinear Schrödinger equation.

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Communicated by Dai Shi-qiang

Project supported by the National Natural Science Foundation of China

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Li-xin, T. The maximum dissipative extension of Schrödinger operator. Appl Math Mech 15, 973–980 (1994). https://doi.org/10.1007/BF02451041

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  • DOI: https://doi.org/10.1007/BF02451041

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