Elliptic translators on manifolds with multidimensional singularities

被引：2

作者：

Savin, A. Yu ^{[1
]}

Sternin, B. Yu

机构：

[1] Peoples Friendship Univ Russia, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 04期

关键词：

Vector Bundle; Boundary Operator; Normal Bundle; Fredholm Operator; Index Formula;

D O I：

10.1134/S0012266113040101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider translators on manifolds with many-dimensional singularities. We state the definition of ellipticity for translators, prove a finiteness (Fredholm property) theorem, and establish an index formula.

引用

页码：494 / 509

页数：16

共 50 条

[1] Elliptic translators on manifolds with multidimensional singularities
A. Yu. Savin
B. Yu. Sternin
Differential Equations, 2013, 49 : 494 - 509
[2] Elliptic translators on manifolds with point singularities
A. Yu. Savin
B. Yu. Sternin
Differential Equations, 2012, 48 : 1577 - 1585
[3] Elliptic translators on manifolds with point singularities
Savin, A. Yu
Sternin, B. Yu
DIFFERENTIAL EQUATIONS, 2012, 48 (12) : 1577 - 1585
[4] A remark on elliptic theory on manifolds with isolated singularities
Nazaikinskii, VE
Sternin, BY
DOKLADY MATHEMATICS, 2000, 62 (02) : 257 - 261
[5] Index of elliptic operators on manifolds with conic singularities
Sternin, BY
Shatalov, VE
Shultse, BV
DOKLADY AKADEMII NAUK, 1999, 365 (02) : 170 - 173
[6] Elliptic G-Operators on Manifolds with Isolated Singularities
Savin A.Y.
Sternin B.Y.
Journal of Mathematical Sciences, 2018, 233 (6) : 930 - 948
[7] Elliptic operators on manifolds with singularities and K-homology
Savin, A
K-THEORY, 2005, 34 (01): : 71 - 98
[8] On the completeness of the generalized eigenfunctions of elliptic operators on manifolds with conical singularities
Krainer, Thomas
MATHEMATISCHE NACHRICHTEN, 2010, 283 (12) : 1680 - 1695
[9] On an exact condition for removability of singularities on manifolds for solutions of nonlinear elliptic equations
Skrypnik, II
DOKLADY MATHEMATICS, 2003, 67 (02) : 251 - 253
[10] ELLIPTIC BOUNDARY-VALUE PROBLEMS WITH DISCONTINUOUS COEFFICIENTS ON MANIFOLDS WITH SINGULARITIES
MAZYA, VG
PLAMENEV.BA
DOKLADY AKADEMII NAUK SSSR, 1973, 210 (03): : 529 - 532

← 1 2 3 4 5 →