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Essential spectrum of a system of singular differential operators and the asymptotic Hain–Lüst operator

Mennicken, Reinhard ; Naboko, Serguei ; Tretter, Christiane



Zusammenfassung

We consider a matrix differential operator with singular entries which arises in magnetohydrodynamics. By means of the asymptotic Hain-Lust operator and some pseudo-differential operator techniques, we determine the essential spectrum of this operator. Whereas in the regular case, the essential spectrum consists of two intervals, it turns out that in the singular case two additional intervals due ...

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