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The uncertainty measure for q-exponential distribution function
q-exponential distribution VarEntropy method MaxEnt nonextensive entropy
2010/11/30
Based on the q-exponential distribution which has been observed in more and more physical systems, the varentropy method is used to derive the uncertainty measure of such an abnormal distribution func...
Measure-Differential Inclusions in Percussional Dynamics
Particle dynamics normal percussions bounded variation measure-differential inclusions
2009/2/5
We give an existence result for the dynamics of a system of particles moving on a line in a horizontal plane and subjected to friction, to percussional effects, to stiffness and to damping. The novelt...
BV Functions with Respect to a Measure and Relaxation of Metric Integral Functionals
Bounded variation functions Radon measures Relaxation Duality Integral representation
2009/1/22
We introduce and study the space of bounded variation functions with respect to a Radon measure $\mu$ on $\mathbb{R}^N$ and to a metric integrand $\varphi$ on the tangent bundle to $\mu$. We show that...
Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data
summability nonlinear parabolic equations measure data
2009/1/13
In this paper, we give an improvement of the summability of solutions to nonlinear parabolic equations with measure data.