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

A. Yu. Savin·B. Yu. Sternin·B. -W. Schulze
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Abstract

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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A. Yu. Savin, B. Yu. Sternin, B. -W. Schulze. 1999-11-09. The homotopy classification and the index of boundary value problems for general elliptic operators. https://arxiv.org/abs/math/9911055

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