The homotopy classification and the index of boundary value problems for general elliptic operators

Details The homotopy classification and the index of boundary value problems for general elliptic operators The homotopy classification and the index of boundary value problems for general elliptic operators

1999-11-09

arxiv.org/abs/math/9911055v1

short version appeared in "Partial differential equations and spectral theory" (Clausthal, 2000), 299--305, Oper. Theory Adv.

Mathematics

Analysis of PDEs

27 pages, 1 figure

Scientific paper

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.

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