 |
|
On the Negative Index Theorem for the Linearized Non-Linear Schrödinger Problem |
Canad. Math. Bull. 53(2010), 737-745
Published:2010-06-11
Printed: Dec 2010
Printed: Dec 2010
- Vitali Vougalter,
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 - NLS-like equations (nonlinear Schrodinger) [See also 37K10] 81Q10 - Selfadjoint operator theory in quantum theory, including spectral analysis |