Half space problems of the linear Boltzmann equation with a constant driving force are considered. Such problems model boundary layers between kinetic zones and fluid zones described by a high field limit of the Boltzmann equation. Existence, uniqueness, and asymptotic behavior of solutions are studied for positive and negative driving forces. In the positive case, the force field accelerates t...

The problem of accurate determination of the position, orientation and width of involute spur gear teeth using a single front-lit image is addressed. The information is used to compute global measures of tooth concentricity and pitch variations across a gear wheel. The approach is based on the use of specialised filters which make maximum use of the grey level information available in the image...

We introduce and study the classes P̃p (Rn) as well as Pp (Rn) , which are generalization of the Kato class. We also obtain a Fefferman inequality for the class P̃p (Rn) and derive the weak Harnack inequality. Mathematics subject classification (2010): Primary 46E35; Secondary 31B10, 35A32, 39B72.

We give a sufficient condition, with no restrictions on the mean curvature, under which the conformal method can be used to generate solutions of the vacuum Einstein constraint equations on compact manifolds. The condition requires a so-called global supersolution but does not require a global subsolution. As a consequence, we construct a class of solutions of the vacuum Einstein constraint equ...

We introduce and prove some new interval oscillation criteria for a general class of forced second-order differential equations (E) : ( r(t)k1(x, x′) )′ + p(t)k2(x, x′)x′ + q(t)f(x) = e(t), t ≥ t0, where the functions k1(u, v), k2(u, v) and f(u) satisfy some general conditions. Our interval oscillation criteria and their proofs are different than previously published ones, and it is based on (i...

The semireactive bargaining set, a solution for cooperative games, is introduced. This solution is in general a subsolution of the bargaining set and a supersolution of the reactive bargaining set. However, on various classes of transferable utility games the semireactive and the reactive bargaining set coincide. The semireactive prebargaining set on TU games can be axiomatized by one-person ra...