
AMS Sectional Meeting Program by Day
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2001 Fall Southeastern Section Meeting
Chattanooga, TN, October 56, 2001
Meeting #970
Associate secretaries: John L Bryant, AMS bryant@math.fsu.edu
Saturday October 6, 2001

Saturday October 6, 2001, 8:00 a.m.12:00 p.m.
Book Sale and Exhibit
Rooms 153 and 155, Metro Complex

Saturday October 6, 2001, 8:00 a.m.12:00 p.m.
Meeting Registration
Rooms 153 and 155, Metro Complex

Saturday October 6, 2001, 8:00 a.m.10:50 a.m.
Special Session on Commutative Ring Theory, III
Sequoyah Room (#203), University Center Organizers: David F. Anderson, University of Tennessee, Knoxville anderson@math.utk.edu
David E. Dobbs, University of Tennessee, Knoxville dobbs@math.utk.edu

8:00 a.m.
Integral domains whose simple overrings are intersectons of localizations.
Marco Fontana, Universita Roma Tre
Evan Houston*, UNC Charlotte
Thomas G Lucas, UNC Charlotte
(97013121)

8:30 a.m.
Root closure in algebraic orders.
Martine PicavetL'Hermitte*, University of Clermont II
(9701334)

9:00 a.m.
Norm Elasticities for Number Fields and a Generalized Davenport Constant.
Jim Coykendall*, North Dakota State University
(97013147)

9:30 a.m.
On the Factorization Properties of Krull Domains with Finite Cyclic Divisor Class Group.
William W Smith*, University of North Carolina at Chapel Hill
(9701326)

10:00 a.m.
On the asymptotic values of length functions in Krull and finitely generated commutative monoids and integral domains.
Scott T. Chapman*, Trinity University
J. C. Rosales, Universidad de Granada
(97013117)

10:30 a.m.
PrimeProducing Polynomials II.
Joe L Mott*, Florida State University
Kermit Rose, Florida State University
(97011122)

Saturday October 6, 2001, 8:00 a.m.10:50 a.m.
Special Session on Asymptotic Behavior of Solutions of Differential and Difference Equations, III
Room 161, Metro Complex Organizers: John R. Graef, University of Tennessee, Chattanooga jgraef@cecasun.utc.edu
Chuanxi Qian, Mississippi State University qian@math.msstate.edu

8:00 a.m.
Multiplicity and Global Bifurcation on Measure Chains.
John M Davis*, Baylor University
(97039223)

8:30 a.m.
Discussion

9:00 a.m.
Stability Of Stochastic Natural Growth Models With Density Dependent Noise.
Thomas C Gard*, University of Georgia
(9703424)

9:30 a.m.
Mathematical Analysis of the Global Dynamics of a Model for HTLVI Infection and ATL Progression.
Liancheng Wang*, Georgia Southern University
Michael Y Li, University of Alberta
Denise Kirschner, University of Michigan
(97037115)

10:00 a.m.
On the Riemann Integration on Time Scales.
Billur Kaymakcalan*, Georgia Southern University
Gusein S Guseinov, Atilim University
(97039181)

10:30 a.m.
Stability in Volterra Equations by Liapunov's Direct Method.
Bo Zhang*, Fayetteville State University
(97034123)

Saturday October 6, 2001, 8:00 a.m.10:50 a.m.
Special Session on New Directions in Combinatorics and Graph Theory, III
Ocoee Room (#204), University Center Organizers: Teresa Haynes, East Tennessee State University haynes@etsu.edu
Debra J. Knisley, East Tennessee State University knisleyd@etsu.edu

8:30 a.m.
On graph irregularity strength.
Alan Frieze, Carnegie Mellon University
Ronald J Gould*, Emory University
Michal Karonski, Adam Mickiewicz University
Florian Pfender, Emory University
(9700583)

9:00 a.m.
Channel assignments with distance conditions.
Jerrold R Griggs*, University of South Carolina
(9700548)

9:30 a.m.
Mathematical Programming Formulation of Rectilinear Crossing Minimization.
Nathaniel Dean*, Rice University
(97005126)

10:00 a.m.
A characterization of cubic parity graphs.
Rommel M Barbosa, Universidade Federal de Mato Grosso
Mark N Ellingham*, Vanderbilt University
(9700598)

10:30 a.m.
How graceful are random graphs?
Anant P Godbole*, East Tennessee State University
(9700542)

Saturday October 6, 2001, 8:00 a.m.10:50 a.m.
Special Session on Numerical Methods for PDEs, III
Room 204, Metro Complex Organizers: Susanne C. Brenner, University of South Carolina brenner@math.sc.edu
Craig C. Douglas, University of Kentucky douglas@ccs.uky.edu

8:00 a.m.
Superconvergence of finite element approximation for the Stokes equations.
Xiu Ye*, University of Arkansas at Little Rock
Junping Wang, Colorado School of Mines
(97065106)

8:30 a.m.
$n$widths and singularly perturbed boundary value problems.
Bruce Kellogg*, University of South Carolina
Martin Stynes, UCC Cork, Ireland
(9706580)

9:00 a.m.
A nonconforming hp finite element method for submeshing.
Padmanabhan Seshaiyer*, Texas Tech University
(9706557)

9:30 a.m.
Twolevel additive Scwarz methods for a discontinuous Galerkin approximation of secondorder elliptic problems.
Xiaobing Feng, University of Tennessee
Ohannes Karakashian*, University of Tennessee
(97065146)

10:00 a.m.
Multilevel discontinuous Galerkin methods.
Jayadeep Gopalakrishnan*, University of Florida
Guido Kanschat, Institut für Angewandte Mathematik
(97065124)

10:30 a.m.
High Order Compact Scheme and Multigrid Local Refinement for Convection Diffusion Problems.
Jun Zhang*, University of Kentucky
Haiwei Sun, University of Kentucky
Jennifer J Zhao, University of Michigan at Dearborn
(97065198)

Saturday October 6, 2001, 8:00 a.m.10:50 a.m.
Special Session on Applications of Partial Differential Equations in Geometric Analysis, III
Room 207, Metro Complex Organizers: Bo Guan, University of Tennessee, Knoxville guan@math.utk.edu
Changyou Wang, University of Kentucky cywang@ms.uky.edu

8:00 a.m.
On a Nonlinear Parabolic System  Modelling Chemical Reactions in Rivers.
Wenxiong Chen, SMSU
Congming Li*, Univ. of Colorado Boulder
Eric Wright, Univ. of Colorado
(9703585)

8:30 a.m.
Uniform Rectifiability and PDE's.
John L Lewis*, University of Kentucky
(97035103)

9:00 a.m.
On the finite time singularity of the heat flow for harmonic maps from surfaces.
Jie Qing*, UCSC
(97035207)

9:30 a.m.
Transonic shocks for steady potential flows and free boundary problems.
GuiQiang Chen, Northwestern University
Mikhail Feldman*, University of WisconsinMadison
(97035118)

10:00 a.m.
The BetheSommerfeld Conjecture for HigherOrder Elliptic Operators.
Zhongwei Shen*, University of Kentucky
(9703556)

10:30 a.m.
Minimization problems and corresponding flows related to weighted $P$energies and weighted total variation norms.
Yunmei Chen*, university of florida
Murali Rao, university of florida
(97035199)

Saturday October 6, 2001, 8:30 a.m.10:50 a.m.
Special Session on Real Analysis, III
Fort Wood Room (#206), University Center Organizers: Paul D. Humke, Saint Olaf College humke@stolaf.edu
Harry I. Miller, University of Tennessee, Chattanooga harrymiller@utc.edu
Clifford E. Weil, Michigan State University

8:00 a.m.
Discussion

8:30 a.m.
Summability of Spliced Sequences.
Jeffrey A Osikiewicz*, Kent State University
(9704021)

9:00 a.m.
Helly's Selection Principle and Selections of BV Mappings.
John E. Porter*, Auburn University
Isidore Fleischer, Universite de Montreal
(9704612)

9:30 a.m.
Helly's Selection Theorem for Vector Space Valued MultiArgument BV Functions.
Isidore Fleischer*, CRM, University of Montreal
John E Porter, Murray State University
(9702673)

10:00 a.m.
Types over the Banach space $C(K)$.
Markus Pomper*, Indiana University East
(9704644)

Saturday October 6, 2001, 8:30 a.m.10:50 a.m.
Special Session on Numerical Analysis and Approximation Theory, II
Room 159, Metro Complex Organizers: TianXiao He, Illinois Wesleyan University the@sun.iwu.edu
Don Hong, Eastern Tennessee State University hong@etsu.edu

8:30 a.m.
Wavelet Solutions of Burgers Equations.
EnBing Lin*, University of Toledo
(97065203)

9:00 a.m.
Using Positive Multiscaling Functions on the Interval to Solve a Certain Class of Multipower Equations.
Patrick J Van Fleet*, University of St. Thomas
(97041209)

9:30 a.m.
Frame Wavelet Sets.
Xingde Dai*, UNCCharlotte
Yuanan Diao, UNCCharlotte
Qing Gu, Beijing University
(97046128)

10:00 a.m.
Biorthogonal Wavelets with the Lagest Possible Regularities and Certain Vanishing Moments.
TianXiao He*, Illinois Wesleyan University
(97042110)

10:30 a.m.
Generalized Stirling Numbers and Their Applications.
Leetsch C. Hsu*, Dalian University of Technology
(97041212)

Saturday October 6, 2001, 8:30 a.m.10:50 a.m.
Special Session on Differential Geometric Methods in the Control of Partial Differential Equations, II
Room 206, Metro Complex Organizers: Walter Littman, University of Minnesota
Roberto Triggiani, University of Virginia rt7u@virginia.edu

Saturday October 6, 2001, 9:00 a.m.10:50 a.m.
Special Session on Topics in Geometric Function Theory, III
Lookout Mountain Room (#117), University Center Organizers: Lelia MillerVan Wieren, Penn State Berks Campus nmiller@utic.net.ba
Bruce P. Palka, University of Texas at Austin palka@math.utexas.edu

9:00 a.m.
On Order of Convexity of Functions defined by certain Integral transforms.
M. Anbu Durai, The Ramanujan Institute for Advanced Study in Mathematics
R. Parvatham*, The Ramanujan Institute for Advanced Study in Mathematics
(9703040)

10:00 a.m.
Potential theoretic measures on boundaries of domains in metric measure spaces.
Nageswari Shanmugalingam*, University of Texas at Austin
Jana Bjorn, University of Lund
Anders Bjorn, Linkoping University
(97031145)

10:30 a.m.
Conformal deformations of uniformizable spaces.
David A Herron*, University of Cincinnati
(97030105)

Saturday October 6, 2001, 9:00 a.m.10:50 a.m.
Special Session on Mathematical and Numerical Aspects of Wave Propagation, II
Room 160, Metro Complex Organizers: Boris P. Belinskiy, University of Tennessee, Chattanooga bbelinsk@cecasun.utc.edu
Yongzhi Xu, University of Tennessee, Chattanooga YongzhiXu@utc.edu

9:00 a.m.
System of Basic Functions for the TwoDimensional Periodic Magnetic Schr\"{o}dinger Operator.
Yulia Karpeshina*, University of Alabama at Birmingham
(97035193)

10:00 a.m.
Effective Acoustic Equations for a Twophase Medium with Microstructure.
Robert P Gilbert*, University of Delaware
Alexander Panchenko, Penn State University
(97035151)

10:30 a.m.
Stochastic Stability of Some Mechanical Systems.
Boris P Belinskiy*, University of Tennessee at Chattanooga
Peter Caithamer, University of Wisconsin, Madison
(9703595)

Saturday October 6, 2001, 9:00 a.m.10:50 a.m.
Special Session on Variational Problems for Free Surface Interfaces, II
Room 351, Metro Complex Organizers: John E. McCuan, Georgia Institute of Technology
Thomas I. Vogel, Texas A\&M University tvogel@math.tamu.edu
Henry C. Wente, University of Toledo hwente@math.utoledo.edu

9:00 a.m.
Bifurcation Phenomena for Capillary Surfaces and Exotic Containers.
Henry C Wente*, University of Toledo
(97049179)

9:30 a.m.
Regularity at the free boundary for solutions of systems of elliptic equations in divergence form.
Joseph F Grotowski*, Universit\"at ErlangenN\"urnberg
(97035173)

10:00 a.m.
Discontinuous reversal of comparison relations for capillary surfaces.
Robert Finn*, Stanford University
A. A. Kosmodem'yanskii, Jr., Moscow Railroad University
(9707696)

10:30 a.m.
Soap bubbles and Riemann surfaces.
Robert B Kusner*, University of Massachusetts
(9705366)

Saturday October 6, 2001, 9:00 a.m.10:25 a.m.
Session for Contributed Papers, II
Room 300, Metro Complex

9:00 a.m.
Irreducible Powerful Ray Pattern Matrices.
Frank J Hall*, Georgia State University
Zhongshan Li, Georgia State University
Jeffrey L Stuart, Univ of Southern Mississippi
(9701528)

9:15 a.m.
Inertia Sets of Symmetric Sign Pattern Matrices.
Frank J Hall, Georgia State University
Zhongshan Li*, Georgia State University
(9701549)

9:30 a.m.
Fast matrix methods for the solution of nonhomogeneous StermLouiville problems with applications to inclusions in a twoway Ocean waveguide.
Michael F Werby*, Naval Research Laboratory, Code 7181 Stennis Space Center, MS 39529
(97035186)

9:45 a.m.
Numerical Solution to Random Boundary Value Problems.
G S Ladde, University of Texas at Arlington
N G Medhin*, Clark Atlanta University
M Sambandham, Morehouse College
(97034225)

10:00 a.m.
Edge coloring of embeddable graphs and Edgeface coloring of simple plane graphs.
Rong Luo*, Department of Mathematics, West Virginia University
Cunquan Zhang, Department of Mathematics, West Virginia University
(97005226)

10:15 a.m.
Euler's Generalisation of Fermat's Theorem  a further generalisation.
A. K. Devaraj*, Mumbai, India
(9701175)

Saturday October 6, 2001, 11:00 a.m.11:50 a.m.
Invited Address
Logarithmic potentials with external fields.
Room 129, Grote Hall
Edward B. Saff*, University of South Florida
(9703108)

Saturday October 6, 2001, 1:25 p.m.2:15 p.m.
Invited Address
Differential geometric methods in the control of partial differential equations.
Room 129, Grote Hall
Roberto Triggiani*, University of Virginia
(9709307)

Saturday October 6, 2001, 2:30 p.m.5:20 p.m.
Special Session on Commutative Ring Theory, IV
Sequoyah Room (#203), University Center Organizers: David F. Anderson, University of Tennessee, Knoxville anderson@math.utk.edu
David E. Dobbs, University of Tennessee, Knoxville dobbs@math.utk.edu

2:30 p.m.
Monoids and Direct Sum Decompositions of Modules.
Karl Kattchee*, University of Wisconsin, La Crosse
(97013177)

3:00 p.m.
When Locally Isomorphic Modules are Stably Isomorphic.
Bruce Olberding, University of Louisiana at Monroe
Azime S Saydam*, University of Louisiana at Monroe
(9701327)

3:30 p.m.
The existence of $K$ such that $J\cong Hom_R(I,K)$ (Preliminary Report).
Kurt D Herzinger*, U.S. Air Force Academy
(97013130)

4:00 p.m.
Torsion in the tensor product of an ideal and its inverse.
Kurt Herzinger, US Air Force Academy
Roger Wiegand*, University of Nebraska
(97013157)

5:00 p.m.
Recent results in commutative ring theory.
S B Mulay*, University of Tennessee
(97013205)

Saturday October 6, 2001, 2:30 p.m.5:50 p.m.
Special Session on Asymptotic Behavior of Solutions of Differential and Difference Equations, IV
Room 161, Metro Complex Organizers: John R. Graef, University of Tennessee, Chattanooga jgraef@cecasun.utc.edu
Chuanxi Qian, Mississippi State University qian@math.msstate.edu

2:30 p.m.
Estimates for the norms of solutions of difference equations.
Rigoberto Medina*, Universidad de Los Lagos
(97039166)

3:00 p.m.
Monotone Flows and Fixed Points for Autonomous Reaction Diffusion Systems.
Aghalaya S Vatsala*, University of Louisiana at Lafayette
(97035153)

3:30 p.m.
Some boundary value problems for nonlinear differential equations of the fourth order.
John R. Graef, University of Tennessee at Chattanooga
Chuanxi Qian, Mississippi State University
Bo Yang*, Mississippi State University
(97034185)

4:00 p.m.
On the oscillation and periodic character of a third order rational difference equation.
William T. Patula*, Southern Illinois University
Hristo D. Voulov, Southern Illinois University
(9703981)

4:30 p.m.
On the generalized reciprocal difference equation with maximum.
Hristo D. Voulov*, Southern Illinois University
(97039142)

5:00 p.m.
Discussion

5:30 p.m.
Discussion

Saturday October 6, 2001, 2:30 p.m.5:20 p.m.
Special Session on New Directions in Combinatorics and Graph Theory, IV
Ocoee Room (#204), University Center Organizers: Teresa Haynes, East Tennessee State University haynes@etsu.edu
Debra J. Knisley, East Tennessee State University knisleyd@etsu.edu

2:30 p.m.
On bounds for dominating the Cartesian product of two graphs.
Douglas F. Rall*, Furman University
Bert L. Hartnell, Saint Mary's University
(9700571)

3:00 p.m.
Some Results Related to the Toughness of 3Domination Critical Graphs.
Nawarat Ananchuen, Silpakorn University
Michael D. Plummer*, Vanderbilt University
(9700545)

3:30 p.m.
Domination DotCritical Graphs.
Tamara A Burton, Armstrong Atlantic State University
David P Sumner*, University of South Carolina
(9700589)

4:00 p.m.
Alliances in Graphs.
Stephen T Hedetniemi*, Clemson University
Sandra M Hedetniemi, Clemson University
Petter Kristiansen, University of Bergen, Norway
(97005158)

5:00 p.m.
AntiVandermonde Polynomials and Their Combinatorial Applications.
Andre E Kezdy*, University of Louisville
(9700570)

Saturday October 6, 2001, 2:30 p.m.5:20 p.m.
Special Session on Real Analysis, IV
Fort Wood Room (#206), University Center Organizers: Paul D. Humke, Saint Olaf College humke@stolaf.edu
Harry I. Miller, University of Tennessee, Chattanooga harrymiller@utc.edu
Clifford E. Weil, Michigan State University

2:30 p.m.
Differentiation of $n$Convex Functions.
Ralph E Svetic*, Michigan State University
(9702650)

3:00 p.m.
Interpolatively Continuous Functions and the Darboux Heierarchy.
Robert W Vallin*, Slippery Rock University of PA
(97026165)

3:30 p.m.
Prevalent properties of continuous functions.
Hongjian H Shi*, Vancouver, Canada
(97026101)

4:00 p.m.
Extreme first return path derivatives.
Ali A AlikhaniKoopaei*, Pennsylvania State University
(9702654)

4:30 p.m.
Real Analysis Exchange OnLine.
Clifford E Weil*, Michigan State University
Paul D Humke, Saint Olaf College
(97026172)

5:00 p.m.
Discussion

Saturday October 6, 2001, 2:30 p.m.4:20 p.m.
Special Session on Topics in Geometric Function Theory, IV
Lookout Mountain Room (#117), University Center Organizers: Lelia MillerVan Wieren, Penn State Berks Campus nmiller@utic.net.ba
Bruce P. Palka, University of Texas at Austin palka@math.utexas.edu

2:30 p.m.
Vanishing exponential integrability.
David R Adams, University of Kentucky
Ritva M HurriSyrjanen*, University of Helsinki, University of Kentucky
(9703138)

3:00 p.m.
Sharp exponential integrability of borderline Sobolev functions in stratified Lie groups.
Zolt{\'a}n M. Balogh, University of Bern
Juan J. Manfredi, University of Pittsburgh
Jeremy T. Tyson*, SUNY at Stony Brook
(9704384)

3:30 p.m.
Packability of Noncompact Riemann Surfaces.
G Brock Williams*, Texas Tech University
(97030127)

4:00 p.m.
On an omitted arc of a support point of the class $\Cal S$.
Stephen M Zemyan*, Penn State Mont Alto
(97030176)

Saturday October 6, 2001, 2:30 p.m.4:20 p.m.
Special Session on Mathematical and Numerical Aspects of Wave Propagation, III
Room 160, Metro Complex Organizers: Boris P. Belinskiy, University of Tennessee, Chattanooga bbelinsk@cecasun.utc.edu
Yongzhi Xu, University of Tennessee, Chattanooga YongzhiXu@utc.edu

2:30 p.m.
Nonlinear wave interactions in a generic periodic media.
Anatoli V Babin*, University of California,Irvine
(97078133)

3:00 p.m.
A blow up result for a nonlinear wave equation with damping: the critical case.
Qi S Zhang*, University of Memphis and University of California Riverside
(9703578)

3:30 p.m.
Finite dimensionality of the attractor for a 2D semilinear wave equation with nonlinear dissipation.
Irena M Lasiecka, University of Virginia
Anastasia A Ruzmaikina*, University of Virginia
(9703525)

4:00 p.m.
Some analytical and numerical results for the quasilinear hyperbolic Kuznetsov equation of fluid acoustics.
Pedro M Jordan*, Naval Research Laboratory, Stennis Space Center, MS
(97076156)

Saturday October 6, 2001, 2:30 p.m.3:50 p.m.
Special Session on Variational Problems for Free Surface Interfaces, iII
Room 351, Metro Complex Organizers: John E. McCuan, Georgia Institute of Technology
Thomas I. Vogel, Texas A\&M University tvogel@math.tamu.edu
Henry C. Wente, University of Toledo hwente@math.utoledo.edu

2:30 p.m.
Big MEMS.
John McCuan*, Georgia Tech
John Pelesko, Georgia Tech
(97035183)

3:00 p.m.
Locally convex hypersurfaces of vanishing Gauss curvature.
Bo Guan*, University of Tennessee
Joel Spruck, Johns Hopkins University
(97053215)

3:30 p.m.
Recovering surfaces from the restoring force.
George I Kamberov*, Stevens Institute of Technology
Gerda L Kamberov, Hofstra University
(97053211)

Saturday October 6, 2001, 2:30 p.m.5:20 p.m.
Special Session on Differential Geometric Methods in the Control of Partial Differential Equations, III
Room 206, Metro Complex Organizers: Walter Littman, University of Minnesota
Roberto Triggiani, University of Virginia rt7u@virginia.edu

Saturday October 6, 2001, 2:30 p.m.12:00 a.m.
Special Session on SphereRelated Approximation and Applications, II
Room 212, Metro Complex Organizers: Edward B. Saff, University of South Florida esaff@math.usf.edu
Larry L. Schumaker, Vanderbilt University s@mars.cas.vanderbilt.edu
Inquiries: meet@ams.org

