Boundary Value Problems on Manifolds with Fibered Boundary

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dc.creatorSavin, A. Yu.
dc.creatorSternin, B. Yu.
dc.date2002-07-20
dc.date.accessioned2026-07-07T06:30:56Z
dc.date.available2026-07-07T06:30:56Z
dc.descriptionWe define a class of boundary value problems on manifolds with fibered boundary. This class is in a certain sense a deformation between the classical boundary value problems and the Atiyah-Patodi-Singer problems in subspaces. The boundary conditions in this theory are taken as elements of the C^*-algebra generated by pseudodifferential operators and families of pseudodifferential operators in the fibers. We prove the Fredholm property for elliptic boundary value problems. This class also contains nonlocal boundary value problems of math.KT/0108107. We compute a topological obstruction (similar to the Atiyah-Bott obstruction) to the existence of elliptic boundary conditions for a given operator. Geometric operators with a nontrivial obstruction are given.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0207179
dc.identifierhttp://arxiv.org/abs/math/0207179
dc.identifierMath. Nachr. 278 (2005), no. 11, 1297-1317
dc.identifierdoi:10.1002/mana.200410308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98474
dc.subjectOperator Algebras
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.subject58J32 (Primary) 58J40, 19K56, 46L99 (Secondary)
dc.titleBoundary Value Problems on Manifolds with Fibered Boundary
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