arXiv Analytics

Sign in

arXiv:math/9911055 [math.AP]AbstractReferencesReviewsResources

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

A. Yu. Savin, B. Yu. Sternin, B. -W. Schulze

Published 1999-11-09Version 1

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.

Comments: 27 pages, 1 figure
Journal: short version appeared in "Partial differential equations and spectral theory" (Clausthal, 2000), 299--305, Oper. Theory Adv. Appl., 126, Birkh\"auser, Basel, 2001
Categories: math.AP, math.KT, math.OA
Subjects: 58G20, 58G10, 19M05, 35J55
Related articles: Most relevant | Search more
arXiv:1008.4614 [math.AP] (Published 2010-08-26)
Radial Convex Solutions of Boundary Value Problems for Systems of Monge-Ampere equations
arXiv:1505.02261 [math.AP] (Published 2015-05-09)
Schatten classes and nuclearity of boundary value problems
arXiv:1906.03701 [math.AP] (Published 2019-06-09)
Bounded $H_{\infty}$-calculus for Boundary Value Problems on Manifolds with Conical Singularities

Links

Toolbox