In this paper we study solutions of the quasi-linear parabolic equations ∂u/∂t −∆pu = a(x)|u|q−1u in (0, T ) × Ω with Robin boundary condition ∂u/∂ν|∇u|p−2 = b(x)|u|r−1u in (0, T ) × ∂Ω where Ω is a regular bounded domain in IRN , N ≥ 3, q > 1, r > 1 and p ≥ 2. Some sufficient conditions on a and b are obtained for those solutions to be bounded or blowing up at a finite time. Next we give the a...

Lawson's oriented walk is a simple algorithm for point location without preprocessing. Originally formulated for planar Delaunay triangulations 2], it generalizes immediately to tesselations of a convex, polyhedral domain into convex, polyhedral cells in d-space. Given a query point q, the algorithm works as follows. 1. Pick some cell C of the tesselation. 2. For each facet F of C, determine th...

Background: Cirrhosis as the final stage of progressive fibrosis of liver can affect other organs such as lungs, kidneys and heart. "Cirrhotic cardiomyopathy" involves the electrophysiological abnormalities such as QT interval prolongation. We assessed correlation between corrected QT interval prolongation and severity of cirrhosis based on Child Classification in each ECG lead. ...

We study the following 1D two-species reaction diffusion model : there is a small concentration of B-particles with diffusion constant DB in an homogenous background of W-particles with diffusion constant DW ; two Wparticles of the majority species either coagulate (W + W −→ W ) or annihilate (W +W −→ ∅) with the respective probabilities pc = (q − 2)/(q − 1) and pa = 1/(q − 1); a B-particle and...

Exclusive yy -+ hadron pairs are among the most fundamental processes in &CD, providing a detailed examination of Compton scattering in the crossed channel. In the high momentum transfer domain (s, t, large, 19,~ for t/s fixed), these processes can be computed from first principles in &CD, yielding important information on the nature of the QCD coupling a, and the form of hadron distribution am...

We characterize the closed operators with domain contained in the Hardy space H 2 that commute with the backward shift. Also, we give necessary and suucient conditions for such an operator to be a Toeplitz operator with symbol the complex conjugate of a function in H 2. In particular, we show that this fact depends only on the domain. Introduction. Let F be a function in the Hardy space of the ...

Treatment One of the rare leukaemia where treatment is an emergency, as intra vascular coagulation is prominent, causing a high rate (10 to 40%) of early mortality, mainly due to cerebral haemorrhage; with the recent differentiation therapy using all trans-retinoic acid (with combined chemotherapy), CR is obtained in 8090% of cases; this is the only cancer which, to date, can be treated by diff...