25 citations · 97 across the 23 of their papers we have counts for
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math.AP2023
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…
math.FA2023
Semigroups generated by multivalued operators and domain convergence for parabolic problems
W. Arendt, I. Chalendar, B. Moletsane
The following version of the Lumer-Phillips is proved: a surjective dissipative operator is m-dissipative and invertible. The result remains true if dissipative linear relations (i…
math.NA2023
Space-time error estimates for approximations of linear parabolic problems with generalized time boundary conditions
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
We first give a general error estimate for the nonconforming approximation of a problem for which a Banach-Ne{\v c}as-Babu{\v s}ka (BNB) inequality holds. This framework covers par…