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

Published online by Cambridge University Press:  20 November 2018

Vitali Vougalter
Vitali Vougalter*
Affiliation:
University of Toronto, Department of Mathematics, Toronto, ON e-mail: vitali@math.toronto.edu
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Abstract

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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 $\text{NLS}$ operator in three dimensions.

Keywords

35Q5581Q10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 4 , 01 December 2010 , pp. 737 - 745
Copyright
Copyright © Canadian Mathematical Society 2010

References

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