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Nonlinear Dirac equation : spectral stability of solitary waves /

This monograph gives a comprehensive treatment of spectral (linear) stability of weakly relativistic solitary waves in the nonlinear Dirac equation. It turns out that the instability is not an intrinsic property of the Dirac equation that is only resolved in the framework of the second quantization...

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Bibliographic Details
Main Authors: Boussaïd, Nabile, 1978- (Author), Komech, Andrew (Author)
Format: Book
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2019]
Series:Mathematical surveys and monographs ; no. 244.
Subjects:
Dirac equation.
Wave equation.
Differential equations, Partial.
Particles (Nuclear physics)
Partial differential equations > Qualitative properties of solutions > Bifurcation [See also 37Gxx, 37K50].
Partial differential equations > Qualitative properties of solutions > Stability.
Partial differential equations > Qualitative properties of solutions > Asymptotic behavior of solutions.
Partial differential equations > Representations of solutions > Soliton solutions.
Partial differential equations > Spectral theory and eigenvalue problems [See also 47Axx, 47Bxx, 47F05] > General topics in linear spectral theory.
Partial differential equations > Spectral theory and eigenvalue problems [See also 47Axx, 47Bxx, 47F05] > Nonlinear eigenvalue problems, nonlinear spectral theory.
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] > Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx] > Soliton theory, asymptotic.
Operator theory > Equations and inequalities involving nonlinear operators [See also 46Txx] {For global and geometric aspects, see 58-XX} > Nonlinear spectral theory, nonlinear eigenvalue problems [.

Evans: Library Stacks

Holdings details from Evans: Library Stacks
Call Number: QC174.45 .B7357 2019
 
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QC174.45 .B7357 2019 Available