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

作者：ter Elst A F M^*; Ouhabaz E M

来源：Journal of Functional Analysis, 2014, 267(11): 4066-4109.

DOI：10.1016/j.jfa.2014.09.001

• Dirichlet-to-Neumann operator
• Poisson bounds

We prove Poisson upper bounds for the kernel (K-t)(t%26gt;0) of the semigroup generated by the Dirichlet-to-Neumann operator if the underlying domain is bounded and has a C-infinity-boundary. We also prove Poisson bounds for K-z for all z in the right half-plane and for all its derivatives.

• 出版日期2014-12-1