R. Howard

activity

19982004

most citedConvex Bodies of Constant Width and Constant Brightness

1 citations · 1 across the 3 of their papers we have counts for

collaborators

Showing 2000Show all

3 papers · 1 filter

math.FA2000

Extremal Approximately Convex Functions and the Best Constants in a Theorem of Hyers and Ulam

S. J. Dilworth, Ralph Howard, James W. Roberts

Let $n \geq 1$ and $B \geq 2$ . A real-valued function $f$ defined on the $n$ -simplex $Δ_{n}$ is approximately convex with respect to $Δ_{B - 1}$ iff f(\sum_{i=1}^B t_ix_i) \le \sum_{i=1}^B t…

math.AP2000

Solutions Near Singular Points to the Eikonal and Related First Order Non-linear Partial Differential Equations in Two Independent Variables

Emil Cornea, Ralph Howard, Per-Gunnar Martinsson

A detailed study of solutions to the first order partial differential equation H(x,y,z_x,z_y)=0, with special emphasis on the eikonal equation z_x^2+z_y^2=h(x,y), is made near poin…

gr-qc2000

Regularity of Horizons and The Area Theorem

Piotr T. Chruściel, Erwann Delay, Gregory J. Galloway +1

We prove that the area of sections of future event horizons in space-times satisfying the null energy condition is non-decreasing towards the future under any one of the following…