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• W619371454 endingPage "2545" @default.
• W619371454 startingPage "2499" @default.
• W619371454 abstract "For a given bounded domain Ω with smooth boundary in a smooth Riemannian manifold (M,g), by decomposing the Dirichlet-to-Neumann operator into a sum of the square root of the Laplacian and a pseudodifferential operator, and by applying Grubb's method of symbolic calculus for the corresponding pseudodifferential heat kernel operators, we establish a procedure to calculate all the coefficients of the asymptotic expansion of the trace of the heat kernel associated to Dirichlet-to-Neumann operator as t→0+. In particular, we explicitly give the first four coefficients of this asymptotic expansion. These coefficients provide precise information regarding the area and curvatures of the boundary of the domain in terms of the spectrum of the Steklov problem." @default.
• W619371454 created "2016-06-24" @default.
• W619371454 creator A5039035397 @default.
• W619371454 date "2015-10-01" @default.
• W619371454 modified "2023-09-26" @default.
• W619371454 title "Asymptotic expansion of the trace of the heat kernel associated to the Dirichlet-to-Neumann operator" @default.
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• W619371454 doi "https://doi.org/10.1016/j.jde.2015.03.029" @default.
• W619371454 hasPublicationYear "2015" @default.
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