In this paper we show that the family P d of probability distributions on R d with logconcave densities satisfies a strong continuity condition. In particular, it turns out that weak convergence within this family entails (i) convergence in total variation distance, (ii) convergence of arbitrary moments, and (iii) pointwise convergence of Laplace transforms. In this and several other respects t...

We study the comparison principle and interior Holder continuity of viscosity solutions of F (x; u;Du;D 2 u) +H(x;Du) = f; where F satis es the standard \structure condition" and H has a superlinear growth with respect to Du. Following Ca arelli, Crandall, Kocan and Swi ech [3], we rst present the comparison principle between L p -viscosity subsolutions and L p -strong supersolutions. We next ...

PURPOSE Becoming certified as a patient-centered medical home now requires practices to measure how effectively they provide continuity of care. To understand how continuity can be improved, we studied the association between provider practice characteristics and interpersonal continuity using the Usual Provider Continuity Index (UPC). METHODS We conducted a mixed-methods study of the relatio...

This paper investigates the existence of strong Nash equilibria (SNE) in continuous and concave games. We show that the coalition consistence property introduced in the paper, together with the concavity and continuity of payoffs, permits the existence of strong Nash equilibria in games with compact and convex strategy spaces. The coalition consistency property is a general condition that canno...

Gould et al. (2014) refreshingly devote an entire paper to investigating the detailed experience of a synaesthete (AB), using a rigorous qualitative method. Their paper addresses sequence-space synaesthesia, in which people associate members of sequences such as months or numbers with specific spatial locations that together create an overall spatial pattern or “form” for each sequence. I have ...

In considering well-being among survivors of life-threatening illnesses such as breast cancer, 2 important questions are whether there is continuity between initial adjustment and longer term adjustment and what role personality plays in long-term adjustment. In this research, a sample of 163 early stage breast cancer patients whose psychosocial adjustment was first assessed during the year aft...

We prove the continuity and we give a Holder estimate for the value function associated with the L cost of the control-affine system q̇ = f0(q) + ∑m j=1 ujfj(q), satisfying the strong Hörmander condition. This is done by proving a result in the same spirit as the Ball-Box theorem for driftless (or sub-Riemannian) systems. The techniques used are based on a reduction of the control-affine system ...

This work presents a priori and a posteriori error analyses of a new multiscale hybridmixed method (MHM) for an elliptic model. Specially designed to incorporate multiple scales into the construction of basis functions, this finite element method relaxes the continuity of the primal variable through the action of Lagrange multipliers, while assuring the strong continuity of the normal component...

This configuration leads to questions on the characteristics of the collective action that enables the transition from individual voluntary commitments that are potentially volatile and unstable to the completion of a collective production that involves continuity and sustainability. The production of free software cannot be considered the contingent result of a spontaneous convergence of indiv...

using analytical method of usul al-fiqh, the present essay deals with opinions of shiite usulis on this question whether continuity of the previous state can be used with regard to time, temporal affairs, and affairs conditioned upon time. as for the first, we investigate opinions of usulis in this connection first, answer the problem of lack of doubt as to subsistence and that of lack of unity...