Background Whether calcium supplementation can reduce osteoporotic fractures is uncertain.
We did a meta-analysis to include all the randomised trials in which calcium, or calcium in …

Diabetes is a complex condition with a variety of causes and pathophysiologies. The current
single target approach has not provided ideal clinical outcomes for the treatment of the …

Background Conventional treatment for primary dysmenorrhoea has a failure rate of 20% to
25% and may be contraindicated or not tolerated by some women. Chinese herbal medicine …

This is a reprinting of a book originally published in 1978. At that time it was the first book on
the subject of homogenization, which is the asymptotic analysis of partial differential …

We consider in this chapter the optimal control of diffusions. Our objective is to derive the
various forms of the Stochastic Maximum Principle. The initial work of this area is due to HJ …

A new edition in a single volume Over the past decade, more and more sophisticaced
mathematical tools and approaches have been incorporated in the? eld of Control of in? nite dim-…

The purpose of this article is to survey some results related to the theory of stochastic Navier-Stokes
equations (SNSE). The interest of SNSE arises from modelling turbulence. We begin …

Mean field theory has raised a lot of interest in recent years, since the independent
introduction by Lasry–Lions and Huang–Caines–Malhamé, see, in particular, Lasry–Lions [25–27], …

< jats: p> The problem of stochastic control of partially observable systems plays an important
role in many applications. All real problems are in fact of this type, and deterministic control …

In this chapter we present the essential elements of both stochastic differential equations
and linear partial differential equations of second order (elliptic and parabolic). Although the …