We study a local data inverse problem for the time-dependent convection–diffusion equation in a bounded domain where a part of the boundary is treated to be inaccessible. Up on assuming the inaccessible part to be flat, ...

Variation diminution (VD) is a fundamental property in total positivity theory, first studied in 1912 by Fekete–Pólya for one-sided Pólya frequency sequences, followed by Schoenberg, and by Motzkin who characterized sign ...

To date, the bestmethodsfor estimating the growth of mean values of arithmetic functions rely on the Voronoï summation formula. By noticing a general pattern in the proof of his summation formula, Voronoï postulated that ...

In this article, we prove that a tame twisted K3 surface over an algebraically closed field of positive characteristic has only finitely many tame twisted Fourier-Mukai partners and we also give a counting formula for the ...

We study in this paper linear and weakly nonlinear waves within the framework of a Hall-magnetohydrodynamic model. An optimal ordering, which allows the Hall effect to be seen in the leading order equations, is used to ...

Let n0, n1,…,np be a sequence of positive integers such that n0<n1<⋯<np, gcd (n0,n1,… ,np)=1. Let S=⟨(0,np),(n0,np−n0),…,(np−1,np−np−1),(np,0)⟩ be an affine semigroup in N2. The semigroup ring k[S]is the coordinate ring ...