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Analysis of the heat kernel of the Dirichlet-to-Neumann operator
Published 18 Feb 2013 in math.AP | (1302.4199v1)
Abstract: We prove Poisson upper bounds for the kernel $K$ of the semigroup generated by the Dirichlet-to-Neumann operator if the underlying domain is bounded and has a $C\infty$-boundary. We also prove Poisson bounds for $K_z$ for all $z$ in the right half-plane and for all its derivatives.
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