IfT (t) is a Co-semigroup on a Banach space X, then elementary examples show that the
adjoint semigroup T*(t) need not be a Co-semigroup. This gives rise to the basic problem of …

Now in its second edition, this book gives a systematic and self-contained presentation of
basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and …

Abstract semilinear functional differential equations arise from many biological, chemical,
and physical systems which are characterized by both spatial and temporal variables and …

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 …

It is the purpose of this paper to describe some of the recent developments in the
mathematical theory of linear and quasilinear elliptic and parabolic systems with …

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

It is shown that translation‐invariant operation, with operator‐valued symbols act
continuously on Bcsov spaces of Band‐space‐valued distributions. This result is then used …

Combining both classical and current methods of analysis, this text present discussions on
the application of functional analytic methods in partial differential equations. It furnishes a …

In this paper the asymptotic behavior of solutions of the so called" curve shortening
equation" for locally convex plane curves is studied. This is done by looking at the blow-up …

A well-known and widely applied method of approximating the solutions of problems in
mathematical physics is the method of difference schemes. Modern computers allow the …