P. Kunstmann

most citedRunge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2025

A cheap way to closed operator sums

Bernhard H. Haak, Peer Christian Kunstmann

Let $A$ and $B$ be sectorial operators in a Banach space $X$ of angles $ω_{A}$ and $ω_{B}$ , respectively, where $ω_{A} + ω_{B} < π$ . We present a simple and common approach to results on close…

math.AP2025

$H^{\infty}$ -calculus for Stokes operators on rough and on unbounded domains

Peer Christian Kunstmann, Patrick Tolksdorf

In this article, we give an overview on known as well as new results on the boundedness of the $H^{\infty}$ -calculus of the Stokes operator in rough as well as in unbounded (smooth…

math.NA2016★ 1 cited

Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity

Peer C. Kunstmann, Buyang Li, Christian Lubich

For a large class of fully nonlinear parabolic equations, which include gradient flows for energy functionals that depend on the solution gradient, the semidiscretization in time b…

A cheap way to closed operator sums

H∞-calculus for Stokes operators on rough and on unbounded domains

Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity

$H^{\infty}$ -calculus for Stokes operators on rough and on unbounded domains