Asymptotic expansion of the trace of the heat kernel associated to the Dirichlet-to-Neumann operator

DOI10.1016/j.jde.2015.03.029zbMath1319.35136OpenAlexW619371454MaRDI QIDQ2351966

Genqian Liu

Publication date: 29 June 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.03.029

zbMATH Keywords

asymptotic expansioncurvatureheat kernelDirichlet-to-Neumann operatorSteklov eigenvalue

Mathematics Subject Classification ID

Related Items (12)

The geometric invariants for the spectrum of the Stokes operator ⋮ Spectral invariants of the perturbed polyharmonic Steklov problem ⋮ Dirichlet-to-Neumann maps for differential forms on graphs and their eigenvalues ⋮ The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface ⋮ Spectral invariants of the magnetic Dirichlet-to-Neumann map on Riemannian manifolds ⋮ Determining Lamé coefficients by the elastic Dirichlet-to-Neumann map on a Riemannian manifold ⋮ Global existence and finite time blow-up of solutions for a class of Dirichlet-to-Neumann operator heat flow equations with critical growth ⋮ Heat flow for Dirichlet-to-Neumann operator with critical growth ⋮ Geometric invariants of spectrum of the Navier-Lamé operator ⋮ On the relative heat invariants of the Dirichlet-to-Neumann operators associated with Schrödinger operators ⋮ The BFK-gluing formula for zeta-determinants and the conformal rescaling of a metric ⋮ Spectral invariants of Dirichlet-to-Neumann operators on surfaces

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