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

1999/11/09 by A. Yu. Savin, B. Yu. Sternin, B. -W. Schulze
Mathematics · #math.AP #math.KT #math.OA #msc:58G20 #msc:58G10 #msc:19M05 #msc:35J55

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published as short version appeared in "Partial differential equations and spectral theory" (Clausthal, 2000), 299--305, Oper. Theory Adv. Appl., 126, Birkhäuser, Basel, 2001 · 27 pages, 1 figure

arxiv created 1999/11/09 · arxiv updated 2009/11/30

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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