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• W2249616543 abstract "For a given bounded domain $Omega$ with smooth boundary in a smooth Riemannian manifold $(mathcal{M},g)$, we establish a procedure to get all the coefficients of the asymptotic expansion of the trace of the heat kernel associated with the perturbed polyharmonic Dirichlet-to-Neumann operator $Lambda_m$ ($mge 1$) as $tto 0^+$. We also explicitly calculate the first four coefficients of this asymptotic expansion. These coefficients (i.e., heat invariants) provide precise information for the area and curvatures of the boundary $partial Omega$ in terms of the spectrum of the perturbed polyharmonic Steklov problem. In particular, when $m=1$ and $qequiv 0$ our work recovers the previous corresponding results in cite{PS} and cite{Liu3}." @default.
• W2249616543 created "2016-06-24" @default.
• W2249616543 creator A5039035397 @default.
• W2249616543 date "2014-05-14" @default.
• W2249616543 modified "2023-09-27" @default.
• W2249616543 title "Heat invariants of the perturbed polyharmonic Steklov problem" @default.
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• W2249616543 hasPublicationYear "2014" @default.
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