On the index of elliptic operators on manifolds with edges
Sbornik. Mathematics, Tome 196 (2005) no. 9, pp. 1271-1305
Voir la notice de l'article provenant de la source Math-Net.Ru
Necessary and sufficient conditions for the representation of the index of elliptic operators on manifolds with edges in the form of the sum of homotopy invariants of symbols on the smooth stratum and on the edge are found. An index formula is obtained for elliptic operators on manifolds with edges under symmetry conditions with respect to the edge covariables.
@article{SM_2005_196_9_a1,
author = {V. E. Nazaikinskii and A. Yu. Savin and B. Yu. Sternin and B.-W. Schulze},
title = {On the index of elliptic operators on manifolds with edges},
journal = {Sbornik. Mathematics},
pages = {1271--1305},
publisher = {mathdoc},
volume = {196},
number = {9},
year = {2005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2005_196_9_a1/}
}
TY - JOUR AU - V. E. Nazaikinskii AU - A. Yu. Savin AU - B. Yu. Sternin AU - B.-W. Schulze TI - On the index of elliptic operators on manifolds with edges JO - Sbornik. Mathematics PY - 2005 SP - 1271 EP - 1305 VL - 196 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2005_196_9_a1/ LA - en ID - SM_2005_196_9_a1 ER -
%0 Journal Article %A V. E. Nazaikinskii %A A. Yu. Savin %A B. Yu. Sternin %A B.-W. Schulze %T On the index of elliptic operators on manifolds with edges %J Sbornik. Mathematics %D 2005 %P 1271-1305 %V 196 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_2005_196_9_a1/ %G en %F SM_2005_196_9_a1
V. E. Nazaikinskii; A. Yu. Savin; B. Yu. Sternin; B.-W. Schulze. On the index of elliptic operators on manifolds with edges. Sbornik. Mathematics, Tome 196 (2005) no. 9, pp. 1271-1305. http://geodesic.mathdoc.fr/item/SM_2005_196_9_a1/