A. Arnold

activity

20032023

most citedA dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in (1+1)D

57 citations · 357 across the 33 of their papers we have counts for

collaborators

Showing 2011Show all

2 papers · 1 filter

math.CA2011★ 5 cited

Estimates for a class of oscillatory integrals and decay rates for wave-type equations

Anton Arnold, JinMyong Kim, Xiaohua Yao

This paper investigates higher order wave-type equations of the form $\partial_{tt} u + P (D_{x}) u = 0$ , where the symbol $P (ξ)$ is a real, non-degenerate elliptic polynomial of the orde…

math.AP2011★ 25 cited

Global estimates of fundamental solutions for higher-order Schrödinger equations

JinMyong Kim, Anton Arnold, Xiaohua Yao

In this paper we first establish global pointwise time-space estimates of the fundamental solution for Schrödinger equations, where the symbol of the spatial operator is a real non…