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On the Negative Index Theorem for the Linearized Non-Linear Schrödinger Problem

  Published:2010-06-11
 Printed: Dec 2010
  • Vitali Vougalter,
    University of Toronto, Department of Mathematics, Toronto, ON
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Abstract

A new and elementary proof is given of the recent result of Cuccagna, Pelinovsky, and Vougalter based on the variational principle for the quadratic form of a self-adjoint operator. It is the negative index theorem for a linearized NLS operator in three dimensions.
MSC Classifications: 35Q55, 81Q10 show english descriptions NLS-like equations (nonlinear Schrodinger) [See also 37K10]
Selfadjoint operator theory in quantum theory, including spectral analysis
35Q55 - NLS-like equations (nonlinear Schrodinger) [See also 37K10]
81Q10 - Selfadjoint operator theory in quantum theory, including spectral analysis
 

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