On the resolvent existence and the separability of a hyperbolic operator with fast growing coefficients in l2 (R2 )
Muratbekov M. Bayandiyev Y.
2021University of Nis
Filomat
2021#35Issue 3707 - 721 pp.
This paper studies the question of the resolvent existence, as well as, the smoothness of elements from the definition domain (separability) of a class of hyperbolic differential operators defined in an unbounded domain with greatly increasing coefficients after a closure in the space L2 (R2 ). Such a problem was previously put forward by I.M. Gelfand for elliptic operators. Here, we note that a detailed analysis shows that when studying the spectral properties of differential operators specified in an unbounded domain, the behavior of the coefficients at infinity plays an important role.
A resolvent , An unbounded domain , Hyperbolic type operator
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Taraz State Pedagogical Institute, Kazakhstan
L.N. Gumilyev, Eurasian National University, Kazakhstan
Taraz State Pedagogical Institute
L.N. Gumilyev
10 лет помогаем публиковать статьи Международный издатель
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