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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79369We 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 figureAnalysis of PDEsK-Theory and HomologyOperator Algebras58G20 (Primary) 58G10, 19M05, 35J55 (Secondary)The homotopy classification and the index of boundary value problems for general elliptic operatorstext