Nonlinear Dirac Equation : spectral stability of solitary waves
Nabile Boussaid
Bok · Engelsk · 2019
| Medvirkende | |
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| Utgitt | Providence, Rhode Island : : American Mathematical Society , 2019
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| Omfang | VI, 297 s. : ill.
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| Opplysninger | Introduction -- Distributions and function spaces -- Spectral theory of nonselfadjoint operators -- Linear stability of NLS solitary waves -- Solitary waves of nonlinear Schrodinger equation -- Limiting absorption principle -- Carleman-Berthier-Georgescu estimates -- The Dirac matrices -- The Soler model -- Bi-frequency solitary waves -- Bifurcations of eigenvalues from the essential spectrum -- Nonrelativistic asymptotics of solitary waves -- Spectral stability in the nonrelativistic limit -- Bibliography -- Index -- List of symbols.. - Presents a comprehensive treatment of spectral (linear) stability of weakly relativistic solitary waves in the nonlinear Dirac equation. 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.
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| Emner | ligninger matematikk
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| Dewey | |
| ISBN | 9781470443955 (ib.)
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