tuberculosis in successive decades. Am J Epidemiol 2008;141:790. 41 Kermack WO, McKendrick AG, McKinley PL. Death-rates in Great Britain and Sweden. Some general regularities and their significance. Lancet 1934;31:683–703. 42 Susser M. Commentary: the longitudinal perspective and cohort analysis. Int J Epidemiol 2001;30:684–87. 43 Davey Smith G, Kuh D. Commentary: William Ogilvy Kermack and the...

We propose a variational approach for deblurring and impulsive noise removal in multi-channel images. A robust data fidelity measure and edge preserving regularization are employed. We consider several regularization approaches, such as Beltrami flow, Mumford-Shah and Total-Variation Mumford-Shah. The latter two methods are extended to multi-channel images and reformulated using the Γ -converge...

The aim of this paper is to prove the existence of extension operators for SBV functions from periodically perforated domains. This result will be the fundamental tool to prove the compactness in a non coercive homogenization problem.

We present a general theory to study optimal regularity for a large class of nonlinear elliptic systems satisfying general boundary conditions and in the presence of a geometric transmission condition on the free-boundary. As an application we give a full positive answer to a conjecture of De Giorgi on the analyticity of local minimizers of the Mumford-Shah functional.

Department of Oral & Maxillofacial Surgery, Sharavathi Dental College and Hospital, Shimoga, Karnataka, India Department of Periodontics, K.M. Shah Dental College and Hospital, Sumandeep Vidyapeeth, Vadodara, Gujarat, India Department of Oral Medicine & Radiology, Sharavathi Dental College and Hospital, Shimoga, Karnataka, India Department of Conservative and Endodontics, K.M Shah Dental Colleg...