Singular solutions and the continuous spectrum
Journal Article
·
· Phys. Fluids; (United States)
It is generally accepted that the continuous spectrum can be detected by the presence of nonsquare integrable solutions. This is shown to be incorrect as a general principle. A method to determine the singularity of eigenfunctions corresponding to the continuous spectrum is presented.
- Research Organization:
- Courant Institute of Mathematical Sciences, New York University, NY
- DOE Contract Number:
- EY-76-C-02-3077
- OSTI ID:
- 6559542
- Journal Information:
- Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 24:3; ISSN PFLDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
EQUATIONS
EQUATIONS OF MOTION
FLUID MECHANICS
FUNCTIONS
HEATING
HYDRODYNAMICS
INSTABILITY
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
MAGNETOHYDRODYNAMICS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA HEATING
PLASMA INSTABILITY
SINGULARITY
SPECTRA
TRANSFORMATIONS
700107* -- Fusion Energy-- Plasma Research-- Instabilities
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
EQUATIONS
EQUATIONS OF MOTION
FLUID MECHANICS
FUNCTIONS
HEATING
HYDRODYNAMICS
INSTABILITY
INTEGRAL TRANSFORMATIONS
LAPLACE TRANSFORMATION
MAGNETOHYDRODYNAMICS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA HEATING
PLASMA INSTABILITY
SINGULARITY
SPECTRA
TRANSFORMATIONS