University of Alabama at Birmingham

output

20022009

most citedDissipation: The phase-space perspective

519 citations

51 papers

math.ST2009

Fitting circles to scattered data: parameter estimates have no moments

N. Chernov

We study a nonlinear regression problem of fitting a circle (or a circular arc) to scattered data. We prove that under any standard assumptions on the statistical distribution of e…

stat.ME2009

Error analysis for circle fitting algorithms

A. Al-Sharadqah, N. Chernov

We study the problem of fitting circles (or circular arcs) to data points observed with errors in both variables. A detailed error analysis for all popular circle fitting methods -…

math.DG2009★ 1 cited

Differential Harnack inequalities on Riemannian manifolds I : linear heat equation

Junfang Li, Xiangjin Xu

In the first part of this paper, we get new Li-Yau type gradient estimates for positive solutions of heat equation on Riemmannian manifolds with $R i cc i (M) \geq - k$ , $k \in R$ .…

math.GT2008★ 4 cited

Extending Isotopies of Planar Continua

Lex G. Oversteegen, E. D. Tymchatyn

In this paper we solve the following problem in the affirmative: Let $Z$ be a continuum in the plane $\complex$ and suppose that $h:Z\times [0,1]\to\complex$ is an isotopy starting…

math.AP2008

Asymptotic Behavior of Blowup Solutions for Elliptic Equations with Exponential Nonlinearity and Singular Data

Lei Zhang

We consider a sequence of blowup solutions of a two dimensional, second order elliptic equation with exponential nonlinearity and singular data. This equation has a rich background…

math.AP2008

A priori estimate for a family of semi-linear elliptic equations with critical nonlinearity

Lei Zhang

We consider positive solutions of $Δ u - μu + K u^{\frac{n + 2}{n - 2}} = 0$ on $B_{1}$ ( $n \geq 5$ ) where $μ$ and $K > 0$ are smooth functions on $B_{1}$ . If $K$ is very sub-harmonic at each critical…