We deal with the problem of determining an inclusion within an electrical conductor from electrical boundary measurements. Under mild a priori assumptions we establish an optimal stability estimate.

We show that a completely multiplicative automatic function, which dos not have 0 as value, is almost periodic.

This paper studies some sufficient conditions for the existence and uniqueness of a pseudo almost periodic mild solution to abstract hyperbolic differential equations with infinite delay. Applications include the existence and uniqueness of a pseudo almost periodic mild solution to the heat equation.

We study the topology of the boundary manifold of a regular neighborhood of a complex projective hypersurface. We show that, under certain Hodge theoretic conditions, the cohomology ring of the complement of the hypersurface functorially determines that of the boundary. When the hypersurface defines a hyperplane arrangement, the cohomology of the boundary is completely determined by the combina...

We prove existence results for travelling waves in discrete, damped, dc-driven sine-Gordon equations with periodic boundary conditions.

Over twenty years ago, Marc Kac posed what is arguably one of the simplest inverse problems in pure mathematics: "Can one hear the shape of a drum?" [19]. Mathematically, the question is formulated as follows. Let /2 be a simply connected, plane domain (the drumhead) bounded by a smooth curve 7, and consider the wave equation on /2 with Dirichlet boundary condition on 7 (the drumhead is clamped...

2009;72;1540-1541; originally published online Feb 25, 2009; Neurology Stephen C. Cannon Getting a charge out of periodic paralysis? This information is current as of May 4, 2009 http://www.neurology.org/cgi/content/full/72/18/1540 located on the World Wide Web at: The online version of this article, along with updated information and services, is All rights reserved. Print ISSN: 0028-3878. Onl...

PURPOSE Presenting the case of unusual onset hypokalemic periodic paralysis (HypoPP) where myopathy had developed two years before paralysis occurred. MATERIAL AND METHODS A Polish three-generation family with HypoPP and mutation in CACNA1S (R1239G) has been investigated. Clinical presentation with unusual onset of the disease, biopsy results and genetic research in one family member were des...

A 17-year-old girl suffered from episodes of flaccid paralysis during each menstrual cycle. No relevant changes were found in potassium concentrations in serum or erythrocytes, nor in the values of pituitary, ovarian, adrenal or thyroid hormones. Acetazolamide administration prevented the attacks.