Geodesic
On the resolvent existence and the separability of a hyperbolic operator with fast growing coefficients in L2 (R ² )
Filomat, Tome 35 (2021) no. 3, p. 707

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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 L 2 (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
DOI : 10.2298/FIL2103707M
Classification : 35M10
Keywords: hyperbolic type operator, a resolvent, an unbounded domain 
Mussakan Muratbekov; Yerik Bayandiyev. On the resolvent existence and the separability of a hyperbolic operator with fast growing coefficients in L2 (R ² ). Filomat, Tome 35 (2021) no. 3, p. 707 . doi: 10.2298/FIL2103707M
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     title = {On the resolvent existence and the separability of a hyperbolic operator with fast growing coefficients in {L2} {(R} {\texttwosuperior} )},
     journal = {Filomat},
     pages = {707 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103707M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103707M/}
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