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

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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.
27 pages, 1 figure

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Analysis of PDEs, K-Theory and Homology, Operator Algebras, 58G20 (Primary) 58G10, 19M05, 35J55 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/79369

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911055
 http://arxiv.org/abs/math/9911055
 short version appeared in "Partial differential equations and spectral theory" (Clausthal, 2000), 299--305, Oper. Theory Adv. Appl., 126, Birkhäuser, Basel, 2001

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arXiv