Abstract
We study the spectral and scattering problems for symmetric systems of nonconstant deficit. We prove (i) discreteness of eigenvalues, (ii) absolute continuity of continuous spectrum. (iii) principle of limiting absorption. As an application to the scattering problems, the decay of local energy and the completeness of wave operators are obtained. The class of systems we consider here includes the linearized equation of magnetohydrodynamics as a typical example.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
