25 citations · 97 across the 23 of their papers we have counts for
6 papers · 1 filter
Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions
Wolfgang Arendt, A. F. M. ter Elst, Jochen Glück
We consider elliptic operators with measurable coefficients and Robin boundary conditions on a bounded domain and show that the first eigenfunction sati…
Galerkin approximation of linear problems in Banach and Hilbert spaces
Wolfgang Arendt, Isabelle Chalendar, Robert Eymard
In this paper we study the conforming Galerkin approximation of the problem: find u U such that a(u, v) = <L, v> for all v V, where U and V are Hilbert or Banach spaces…
Elliptic problems and holomorphic functions in Banach spaces
Wolfgang Arendt, Manuel Bernhard, Marcel Kreuter
In the first part we show that a vector-valued almost separably valued function is holomorphic (harmonic) if and only if it is dominated by an function and t…
Operators with continuous kernels
W. Arendt, A. F. M. ter Elst
Let be open. We investigate conditions under which an operator on has a continuous kernel . In the centre…
Maximal -regularity in nonlinear gradient systems and perturbations of sublinear growth
Wolfgang Arendt, Daniel Hauer
The nonlinear semigroup generated by the subdifferential of a convex lower semicontinuous function has a smoothing effect, discovered by H. Brézis, which implies maximal regula…
In Koenigs' footsteps: Diagonalization of composition operators
Wolfgang Arendt, Benjamin Célariès, Isabelle Chalendar
Let be a holomorphic map with a fixed point such that . We show that the spectrum of the composition operator …