Global ETD Search

1	The homotopy classification and the index of boundary value problems for general elliptic operators Schulze, Bert-Wolfgang, Sternin, Boris, Savin, Anton January 1999 (has links) We give the homotopy classification and compute the index of boundary value problems for elliptic equations. The classical case of operators that satisfy the Atiyah-Bott condition is studied first. We also consider the general case of boundary value problems for operators that do not necessarily satisfy the Atiyah-Bott condition. elliptic boundary value problems Atiyah-Bott condition index theory K-theory homotopy classification Mathematics
2	On the homotopy classification of elliptic operators on manifolds with singularities Schulze, Bert-Wolfgang, Nazaikinskii, Vladimir E., Sternin, Boris Yu. January 1999 (has links) We study the homotopy classification of elliptic operators on manifolds with singularities and establish necessary and sufficient conditions under which the classification splits into terms corresponding to the principal symbol and the conormal symbol. elliptic operators homotopy classification manifold with singularities Atiyah-Singer theorem Mathematics