30 citations · 36 across the 12 of their papers we have counts for
14 papers
Concentration and non-concentration of eigenfunctions of second-order elliptic operators with a divergence form in layered media
Matania Ben-Artzi, Yves Dermenjian
Let ' R^d , d = 1, 2, . . . be an open bounded smooth domain, and The coordinates in are designated a…
Concentration and non-concentration of eigenfunctions of second-order elliptic operators in layered media
Assia Benabdallah, Matania Ben-Artzi, Yves Dermenjian
This work is concerned with operators of the type A = --c acting in domains := ' x (0, H) R^d x R ^+. The diffusion coefficient c > 0 depends on one coordina…
Regularity of Fluxes in Nonlinear Hyperbolic Balance Laws
Matania Ben-Artzi, Jiequan Li
This paper addresses the issue of the formulation of weak solutions to systems of nonlinear hyperbolic conservation laws as integral balance laws. The basic idea is that the "meani…
Finite difference approach to fourth-order linear boundary-value problems
Matania Ben-Artzi, Benjamin Kramer
Discrete approximations to the equation \begin{equation*} L_{cont}u = u^{(4)} + D(x) u^{(3)} + A(x) u^{(2)} + (A'(x)+H(x)) u^{(1)} + B(x) u = f, \; x\in[0,1] \end{equation*} are co…
Concentration and confinement of eigenfunctions in a bounded open set (version 2)
Assia Benabdallah, Matania Ben-Artzi, Yves Dermenjian
Consider the Dirichlet-Laplacian in and choose another open set . The estimate $0<C_ω\leq R_ω(u):=\frac{\Vert u\Vert^{2}_{L^{2}(ω)}}{\Vert u\Ver…
Viscous Conservation Laws in 1d With Measure Initial Data
Miriam Bank, Matania Ben-Artzi, Maria E Schonbek
The one-dimensional viscous conservation law is considered on the whole line $$ u_t + f(u)_x=\eps u_{xx},\quad (x,t)\in\RR\times\overline{\RP},\quad \eps>0, $$ subject to positive…