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- W3100596007 abstract "We consider the heat kernel on a manifold whose boundary is piecewise smooth. The set of independent geometrical quantities required to construct an expression for the contribution of the boundary discontinuities to the heat-kernel coefficient is derived in the case of a scalar field with Dirichlet and Robin boundary conditions. The coefficient is then determined using conformal symmetry and evaluation on some specific manifolds. For the Robin case a perturbation technique is also developed and employed. The contributions to the smeared heat-kernel coefficient and cocycle function are calculated. Some incomplete results for spinor fields with mixed conditions are also presented." @default.
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- W3100596007 date "1998-05-01" @default.
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- W3100596007 title "The heat-kernel coefficient in the presence of boundary discontinuities" @default.
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- W3100596007 doi "https://doi.org/10.1088/0264-9381/15/5/005" @default.
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