We consider the problem of existence of entire solutions to the Allen-Cahn equation Δu + u - u(3) = 0 in , usually regarded as a prototype for the modeling of phase transition phenomena. In particular, exploiting the link between the Allen-Cahn equation and minimal surface theory in dimensions N ≥ 9, we find a solution, u, with ∂(x(N))u > 0, such that its level sets are close to a nonplanar, mi...

We study a singular limit problem of the Allen-Cahn equation with Neumann boundary conditions and general initial data of uniformly bounded energy. We prove that the time-parametrized family of limit energy measures is Brakke’s mean curvature flow with a generalized right angle condition on the boundary.

0 7 4 0 7 4 5 9 / 0 0 / $ 1 0 . 0 0 © 2 0 0 0 I E E E ground. We agree with F.G. Harold’s concept of “optimal heterophily”1 and use the term software engineering to include information technology. Y2K presented a formidable (albeit welldefined) challenge: find the date problems and fix them (see our “Congratulations” in the accompanying sidebar). Post-Y2K presents a more formidable challenge: a...

Mainstream Information Technology professionals have misunderstood the Pick environment for many years. The Pick environment has been conceived, designed and built with business solutions as its key driver. At its heyday there were over 3,000 business applications available across a very wide range of hardware platforms supporting from 1 to thousands of real time users. The tentative economic r...

Award Number: W81XWH-08-1-0108 TITLE: The role of eIF4E activity in breast cancer PRINCIPAL INVESTIGATOR: Thomas A Hughes CONTRACTING ORGANIZATION: University of Leeds Leeds LS2 9-0000 REPORT DATE: August 2010 TYPE OF REPORT: Annual PREPARED FOR: U.S. Army Medical Research and Materiel Command Fort Detrick, Maryland 21702-5012 DISTRIBUTION STATEMENT:  Approved for public release; distribution ...

Fatigue is a recognised problem in the transport industry. It has been attributed to two main influences: time of day and the time since last sleep. While the role of these two influences in producing fatigue is not disputed, there is less agreement on how they interact with one another. The aim of this study was to examine the relative effects of time of day and sleep deprivation on fatigue an...

Prior studies have shown that the IT innovation capability, a company's ability to innovate systematically with IT, is not easily replicated (persistent), and the persistence tends to be more pronounced during periods when economy-wide IT budgets are declining (hard IT budgets), such the post-Y2K period. Building on resource based view we argue that companies that systematically innovate with I...

Award Number: W81XWH-08-1-0108 TITLE: The role of eIF4E activity in breast cancer PRINCIPAL INVESTIGATOR: Thomas A Hughes CONTRACTING ORGANIZATION: University of Leeds Leeds LS2 9-0000 REPORT DATE: August 2010 TYPE OF REPORT: Annual PREPARED FOR: U.S. Army Medical Research and Materiel Command Fort Detrick, Maryland 21702-5012 DISTRIBUTION STATEMENT:  Approved for public release; distribution ...

We examine the state of game theory. Many important questions have been answered, and game theoretic methods are now central to much economic investigation. We suggest areas where further advances are important, and argue that models of learning and of social preferences provide promising routes for improving and widening game theory’s predictive power, while preserving the sucesses of existing...