Zobrazeno 1 - 10
of 65
pro vyhledávání: '"V. E. Shatalov"'
Autor:
M. V. Korovina, V. E. Shatalov
Publikováno v:
Differential Equations. 46:1267-1286
In the present paper, we consider differential equations with cusp-type degeneration in the principal symbol. We prove the existence of an endlessly continuable solution in the case of Fredholm equations with endlessly continuable right-hand side. Fo
Publikováno v:
Applicable Analysis. 84:649-668
A minimal element, mother body, for a family of bodies producing the same external gravitational field is the body in the family, whose support has Lebesgue measure zero and satisfies some additional requirements. The finite algorithm of constructing
Autor:
V. E. Shatalov, B. Yu. Sterninand
Publikováno v:
Differential Equations. 38:1764-1773
Autor:
M. V. Korovina, V. E. Shatalov
Publikováno v:
Doklady Mathematics. 83:149-151
Autor:
V. E. Shatalov, B. Yu. Sternin
Publikováno v:
Differential Equations. 37:1291-1302
Publikováno v:
Annals of Global Analysis and Geometry. 17:409-439
We establish an Atiyah–Bott–Lefschetz formula for elliptic operators on manifolds with conical singular points.
Publikováno v:
Sbornik: Mathematics. 189:1573-1586
A theory of general boundary-value problems is developed for differential operators with symbols not necessarily satisfying the Atiyah-Bott condition that the corresponding obstruction must vanish. A condition ensuring that these problems possess the
Autor:
V. E. Shatalov, B. Yu. Sternin
Publikováno v:
Functional Analysis and Its Applications. 32:247-257
Publikováno v:
Annals of Global Analysis and Geometry. 16:141-172
The paper contains the proof of the index formula for manifolds with conical points. For operators subject to an additional condition of spectral symmetry, the index is expressed as the sum of multiplicities of spectral points of the conormal symbol
Publikováno v:
Annals of Global Analysis and Geometry. 16:101-140
Equations on manifolds with cusp-type singularities are investigated. The corresponding calculus of pseudodifferential operators is constructed and finiteness theorems (Fredholm property) are established. The resurgent character of solutions is prove