International Research Project ANIS

Anisotropic Dirichlet-to-Neumann maps: Heat kernels and spectral theory

Project Description

The Dirichlet-to-Neumann map is a fundamental object connecting boundary measurements to phenomena occurring inside a domain. It arises naturally in inverse problems, conductivity imaging, scattering theory, homogenization and the analysis of elliptic partial differential equations.

The aim of this project is to develop the analysis of anisotropic Dirichlet-to-Neumann operators on domains with rough boundaries and non-smooth coefficients. Particular emphasis is placed on heat kernel estimates, spectral properties and their connections with Robin boundary value problems.

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