Moving interfaces–and in the stationary case, free boundaries–are ubiquitous in our
environment and daily life. They are at the basis of many physical, chemical, and also …

From the reviews:" Since E. Hille and K. Yoshida established the characterization of
generators of C0 semigroups in the 1940s, semigroups of linear operators and its …

The foundations of this outstanding book series were laid in 1944. Until the end of the
1970s, a total of 77 volumes appeared, including works of such distinguished …

This book deals with evolutionary systems whose equation of state can be formulated as a
linear Volterra equation in a Banach space. The main feature of the kernels involved is that …

In Section 2.1 the basic theory of sectorial operators is developed, including examples and
the concept of sectorial approximation. In Section 2.2 we introduce some notation for certain …

This work presents a detailed study of linear abstract degenerate differential equations,
using both the semigroups generated by multivalued (linear) operators and extensions of …

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 …

An extension of different lectures given by the authors, Local Bifurcations, Center Manifolds,
and Normal Forms in Infinite Dimensional Dynamical Systems provides the reader with a …

On the closedness of the sum of two closed operators Page 1 Math. Z. 196, 189-201 (1987)
Mathematische Zeitschrift 9 Springer-Verlag 1987 On the Closedness of the Sum of Two …

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 …