Heat Kernel Asymptotics of Zaremba Boundary Value Problem

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dc.creatorAvramidi, Ivan
dc.date2001-10-18
dc.date.accessioned2026-07-07T04:28:41Z
dc.date.available2026-07-07T04:28:41Z
dc.descriptionThe Zaremba boundary-value problem is a boundary value problem for Laplace-type second-order partial differential operators acting on smooth sections of a vector bundle over a smooth compact Riemannian manifold with smooth boundary but with non-smooth (singular) boundary conditions, which include Dirichlet conditions on one part of the boundary and Neumann ones on another part of the boundary. We study the heat kernel asymptotics of Zaremba boundary value problem. The construction of the global parametrix of the heat equation is described in detail and the leading parametrix is computed explicitly. Some of the first non-trivial coefficients of the heat kernel asymptotic expansion are computed explicitly.
dc.description40 pages, no figures, LaTex2e, 90 KB
dc.identifierhttps://arxiv.org/abs/math-ph/0110020
dc.identifierhttp://arxiv.org/abs/math-ph/0110020
dc.identifierMath.Phys.Anal.Geom. 7 (2004) 9-46
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56883
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.subject58J35, 58J37, 58J50, 58J32, 35P20, 35K20
dc.titleHeat Kernel Asymptotics of Zaremba Boundary Value Problem
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