Analysis of the heat kernel of the Dirichlet-to-Neumann operator

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.

Cited by in corpus (1)

• Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators