11 citations · 24 across the 7 of their papers we have counts for
7 papers
Nittka's invariance criterion and Hilbert space valued parabolic equations in
W. Arendt, A. F. M. ter Elst, M. Sauter
Nittka gave an efficient criterion on a form defined on which implies that the associated semigroup is -invariant for some given . We extend this cr…
The Perron solution for elliptic equations without the maximum principle
W. Arendt, A. F. M. ter Elst, M. Sauter
In this article we consider the Dirichlet problem on a bounded domain with respect to a second-order elliptic differential operator in divergence form. We do n…
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…
Uniqueness of the approximative trace
Manfred Sauter
We study the approximative trace for individual elements in the Sobolev space for . This notion of a trace was introduced for in [AtE11] in the…
Nonseparability and von Neumann's theorem for domains of unbounded operators
A. F. M. ter Elst, Manfred Sauter
A classical theorem of von Neumann asserts that every unbounded self-adjoint operator in a separable Hilbert space is unitarily equivalent to an operator in such th…
A generalisation of the form method for accretive forms and operators
A. F. M. ter Elst, Manfred Sauter, Hendrik Vogt
The form method as popularised by Lions and Kato is a successful device to associate m-sectorial operators with suitable elliptic or sectorial forms. McIntosh generalised the form…
The regular part of second-order differential sectorial forms with lower-order terms
A. F. M. ter Elst, Manfred Sauter
We present a formula for the regular part of a sectorial form that represents a general linear second-order differential expression that may include lower-order terms. The formula…