Description
The book presents the necessary overview of the functional analysis, spectral theory, and the existence and linear stability of solitary waves of the nonlinear Schrodinger equation. It also presents the necessary tools such as the limiting absorption principle and the Carleman estimates in the form applicable to the Dirac operator, and proves the general form of the Dirac-Pauli theorem. All of these results are used to prove the spectral stability of weakly relativistic solitary wave solutions of the nonlinear Dirac equation.
About the Author
Nabile Boussaid, Universite de Franche-Comte, Besancon, France.
Andrew Comech, Texas A&M University, College Station, TX.
Book Information
ISBN 9781470443955
Author Nabile Boussaid
Format Hardback
Page Count 297
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 760g