Upper bounds for the function solution of the homogenuous 2D Boltzmann equation with hard potential

In this paper, we study the Gevrey class regularity for solutions of the spatially homogeneous Landau equations in the hard potential case and the Maxwellian molecules case.. Here

The zero-sum constant ZS(G) of G is defined to be the smallest integer t such that every sequence of length t of G contains a zero-sum subsequence of length n, while the

It can be observed that only in the simplest (s = 5) linear relaxation there is a small difference between the instances with Non-linear and Linear weight functions: in the latter

The generalized Korteweg–de Vries equation has the property that solutions with initial data that are analytic in a strip in the complex plane continue to be analytic in a strip as

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

Keywords: Wasserstein space; Fr´ echet mean; Barycenter of probability measures; Functional data analysis; Phase and amplitude variability; Smoothing; Minimax optimality..

We bring bounds of a new kind for kernel PCA: while our PAC bounds (in Section 3) were assessing that kernel PCA was efficient with a certain amount of confidence, the two

[1] Fredrik Abrahamsson. Strong L 1 convergence to equilibrium without entropy conditions for the Boltzmann equation. Entropy dissipation and long-range interactions. The