25 citations · 97 across the 23 of their papers we have counts for
4 papers · 1 filter
Extensions of derivations and symmetric operators
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
Given a densely defined skew-symmetric operators A 0 on a real or complex Hilbert space V , we parametrize all m-dissipative extensions in terms of contractions : H-$\rightarro…
Lions' representation theorem and applications
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
The Representation Theorem of Lions (RTL) is a version of the Lax--Milgram Theorem where completeness of one of the spaces is not complete. In this paper, RTL is deduced from an op…
The Wentzell Laplacian via forms and the approximative trace
Wolfgang Arendt, Manfred Sauter
We use form methods to define suitable realisations of the Laplacian on a domain with Wentzell boundary conditions, i.e. such that holds…
Semilinear elliptic equations on rough domains
Wolfgang Arendt, Daniel Daners
The paper makes use of recent results in the theory of Banach lattices and positive operators to deal with abstract semilinear equations. The aim is to work with minimal or no regu…