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math.AP2020★ 3 cited
Convex monotone semigroups on lattices of continuous functions
Robert Denk, Michael Kupper, Max Nendel
We consider convex monotone -semigroups on a Banach lattice, which is assumed to be a Riesz subspace of a -Dedekind complete Banach lattice. Typical examples include the sp…
math.AP2020
Elliptic problems with rough boundary data in generalized Sobolev spaces
Anna Anop, Robert Denk, Aleksandr Murach
We investigate regular elliptic boundary-value problems in bounded domains and show the Fredholm property for the related operators in an extended scale formed by inner product Sob…
math.AP2020
An introduction to maximal regularity for parabolic evolution equations
Robert Denk
In this note, we give an introduction to the concept of maximal -regularity as a method to solve nonlinear partial differential equations. We first define maximal regularity f…