The primary objective of this monograph is to develop an elementary and se-containedapproachtothemathematicaltheor…
? uid n in a domain? of the Euclidean spaceR, described by the equations of Navier-Stokes …

The book provides a comprehensive, detailed and self-contained treatment of the
fundamental mathematical properties of boundary-value problems related to the Navier …

In these lecture notes we report on recent breakthroughs in the functional analytic approach
to maximal regularity for parabolic evolution equations, which set off a wave of activity in the …

This book makes available to researchers and advanced graduates a simple and direct
presentation of the fundamental aspects of the theory of fractional powers of non-negative …

Dissipative equations have attracted substantial attention over many years. Much progress
has been achieved in this area using a combination of both finite dimensional and infinite …

In this paper we show that the L p-realization of a vector-valued elliptic boundary value
problem (, j) admits a bounded∞-calculus on L p (G; E), 1< p<∞, provided the top-order …

In this work, we introduce and study the well-posedness of the multidimensional fractional
stochastic Navier–Stokes equations on bounded domains and on the torus (briefly dD …

Mathematische Zeitschrift Page 1 DOI: 10.1007/s00209-003-0518-y Math. Z. 244, 651–688 (2003)
Mathematische Zeitschrift H∞ -calculus for the Stokes operator on Lq-spaces André Noll …

We study the minimal and maximal closed extension of a differential operator A on a
manifold B with conical singularities, when A acts as an unbounded operator on weighted L …

The aim of this paper is to present a new joint approach to the Helmholtz decomposition in
infinite cylinders and in infinite layers Ω=Σ*\mathbbR^k in the function space …