Dirichlet-to-Robin Operators via Composition Semigroups

Abstract

We show well-posedness for an evolution problem associated with the Dirichlet-to-Robin operator for certain Robin boundary data. Moreover, it turns out that the semigroup generated by the Dirichlet-to-Robin operator is closely related to a weighted semigroup of composition operators on an appropriate Banach space of analytic functions.

18 pages

References in corpus (1)

• Composition Semigroups on BMOA and $H^{\infty }$

Cited by in corpus (1)

• Weighted composition semigroups on spaces of continuous functions and their subspaces