Centre for Mathematics and Its Applications
Mathematics Research Reports 1996

Alexander Molev (MRR96-001)

Factorial supersymmetric Schur functions and super Capelli identities

• Abstract
• Published: Kirillov's seminar on representation theory, 109-137, Amer. Math. Soc. Transl. Ser. 2, 181, Amer. Math. Soc., Providence, RI, 1998
• MR 99j:05190

C. R. Leedham-Green and E. A. O'Brien (MRR96-002)

Tensor products are projective geometries

• Published: J. Algebra 189 (1997), no. 2, 514-528
• MR 98b:20073

Stephen Roberts and Stephan Matthai (MRR96-003)

High resolution potential flow methods in oil exploration

• Abstract
• Published: Computational techniques and applications: CTAC95 (Melbourne, 1995), 677-684, World Sci. Publishing, River Edge, NJ, 1996

John E. Gilbert, Jeffrey A. Hogan and Joseph D. Lakey (MRR96-004)

Operators of cotlar type with unilateral vanishing moments

• Abstract

Gerhard Dziuk and John E. Hutchinson (MRR96-005)

A finite element method for approximating minimal surfaces

• Published: Tatra Mt. Math. Publ. 4 (1994), 49-62
• MR 95g:65151

Karin Erdmann (MRR96-006)

On the GL_n(K)-module structure of the free Lie algebra

Yu-kui Zhou (MRR96-007)

SU fusion hierarchies of dilute models

• Abstract
• Published: Internat. J. Modern Phys. B 10 (1996), no. 25, 3481-3503
• MR 97j:82063

M.F. Newman, Werner Nickel, Alice C. Niemeyer (MRR96-008)

Descriptions of groups of prime power order

• Abstract
• Published: J. Symbolic Comput. 25 (1998), no. 5, 665-682
• MR 99f:20054

Yi Fang (MRR96-009)

The non compact Douglas Plateau problem

• Abstract

A. Hinkkanen and G. J. Martin (MRR96-010)

Attractors in quasiregular semigroups

A. Hinkkanen and G. J. Martin (MRR96-011)

Some properties of semigroups of rational functions

• Published: XVIth Rolf Nevanlinna Colloquium (Joensuu, 1995), 53-58, de Gruyter, Berlin, 1996
• MR 97i:30036

M. F. Newman and E. A. O'Brien (MRR96-012)

Application of computers to questions like those of Burnside. II

• Published: Internat. J. Algebra Comput. 6 (1996), no. 5, 593-605
• MR 97k:20002

M. F. Newman, G. Sauerbrier and J. Wisliceny (MRR96-013)

Groups of prime-power order with a small number of relations

• Published: Rostock. Math. Kolloq. No. 49, (1995), 141-154
• MR 97d:20016

A Caranti, S Mattarei and M. F. Newman (MRR96-014)

Graded Lie algebras of maximal class

• Published: Trans. Amer. Math. Soc. 349 (1997), no. 10, 4021-4051
• MR 98a:17027

Yi Fang and Min-Chun Hong (MRR96-015)

Heat flow for Yang Mills Higgs fields

• Abstract
• Published: Chinese Ann. Math. Ser. B 21 (2000), no. 4, 453-472

Pengfei Guan (MRR96-016)

Quasilinear degenerate elliptic equations in divergence form

• Abstract

Eric X Jiang (MRR96-017)

A streamline diffusion method and its application in semiconductor device simulations

• Abstract

Markus Hegland and M. R. Osborne (MRR96-018)

Wrap around partitioning for block bidiagonal linear systems

• Abstract
• Download paper (16K gzipped DVI file)
• Published: IMA J. Numer. Anal. 18 (1998), no. 3, 373-383
• MR 99c:65049

Geoffrey B. Campbell (MRR96-019)

Dirichlet series related to analogues of the q-gamma and q-beta functions

• Abstract

A.T-M. Lau and R.J. Loy (MRR96-020)

Weak amenability of Banach algebras on locally compact groups

• Published: J. Funct. Anal. 145 (1997), no. 1, 175-204
• MR 98b:46068

A.F.M. ter Elst and D.W. Robinson (MRR96-021)

Analytic elements of Lie groups

• Published: Helv. Phys. Acta 69 (1996), no. 5-6, 655-678
• MR 97k:22017

A.F.M. ter Elst and D.W.Robinson (MRR96-022)

On Kato's square root problem

• Published: Hokkaido Math. J. 26 (1997), no. 2, 365-376
• MR 98k:47069

Bob Anderssen, Frank de Hoog, Markus Hegland (MRR96-023)

A stable finite difference Ansatz for higher order differentiation of non-exact data

• Published: Bull. Austral. Math. Soc. 58 (1998), no. 2, 223-232
• MR 2000d:65037

B.H. Neumann (MRR96-024)

Commutator laws in algebraic systems

• Published: Semigroups (Kunming, 1995), 245-250, Springer, Singapore, 1998

David L. Harrar II and Michael R. Osborne (MRR96-025)

A review of some contemporary Trends in the numerical solution of large nonsymmetric eigenvalue problems

• Abstract
• Download paper (34K gzipped DVI file)

Adam Sikora (MRR96-026)

On-diagonal estimates on reduced heat kernels and Schrödinger semigroup kernels

• Published: Comm. Math. Phys. 188 (1997), no. 1, 233-249
• MR 98k:58213

Michael Ng (MRR96-027)

Preconditioned conjugate gradient methods for solving systems of Weiner-Hopf integrals

Ola Bratelli, Akitaka Kishimoto and Derek W. Robinson (MRR96-028)

Abundance of invariant and almost invariant pure states of C^* dynamical systems

• Abstract
• Download paper (34K gzipped DVI file)
• Published: Comm. Math. Phys. 187 (1997), no. 3, 491-507
• MR 98i:46072

Asif Ali (MRR96-029)

On the Wielandt length of a finite supersoluble group

• Abstract
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• Published: Proc. Roy. Soc. Edinburgh Sect. A 130 (2000), no. 6, 1217-1226
• CMP 1 809 100

S Loesch, Y.-K. Zhou and J.-B. Zuber (MRR96-030)

Identities in representations of the Hecke algebra

• Abstract
• Download paper (122K gzipped PostScript file)
• Published: Internat. J. Modern Phys. A 12 (1997), no. 24, 4425-4443
• MR 99f:81072

Vladimir V. Bazhanov, Sergei L. Lukyanov and Alexander B. Zamolodchikov (MRR96-031)

Integrable quantum field theories in finite volume: excited state energies

• Abstract
• Download paper (150K gzipped PostScript file)
• Published: Nuclear Phys. B 489 (1997), no. 3, 487-531
• MR 98c:81196

Robert E. O'Malley, Jr. (MRR96-032)

Stiff differential equations and singular perturbations

• Abstract
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Hung-Ju Kuo and Neil S. Trudinger (MRR96-033)

Evolving monotone difference operators on general space-time meshes

• Abstract
• Published: Duke Math. J. 91 (1998), no. 3, 587-607
• MR 97f:39023

Neil S. Trudinger (MRR96-034)

On new isoperimetric inequalities and symmetrization

• Abstract
• Published: J. Reine Angew. Math. 488 (1997), 203-220
• MR 99a:35076

A.F.M. ter Elst and Derek W. Robinson (MRR96-035)

Second order subelliptic operators on Lie groups I: complex uniformly continuous principal coefficients

• Abstract
• Download paper (73K gzipped DVI file)
• Published: Acta Appl. Math. 59 (1999), no. 3, 299-331
• MR 2001a:35043

A.F.M. ter Elst and Derek W. Robinson (MRR96-036)

High order divergence-form elliptic operators on Lie groups

• Abstract
• Download paper (21K gzipped DVI file)
• Published: Bull. Austral. Math. Soc. 55 (1997), no. 2, 335-348
• MR 98c:22009

A.F.M. ter Elst and Derek W. Robinson (MRR96-037)

Second-order subelliptic operators on Lie groups II: real measurable principal coefficients

• Abstract
• Download paper (36K gzipped DVI file)
• Published: Semigroups of operators: theory and applications (Newport Beach, CA, 1998), 103-124, Progr. Nonlinear Differential Equations Appl., 42, Birkhäuser, Basel, 2000
• CMP 1 788 873

A.F.M. ter Elst and Derek W. Robinson (MRR96-038)

Second-order strongly elliptic operators on Lie groups with Hölder continuous coefficients

• Abstract
• Download paper (93K gzipped DVI file)
• Published: J. Austral. Math. Soc. Ser. A 63 (1997), no. 3, 297-363
• MR 98i:22014

Geoffrey B. Campbell (MRR96-039)

A generalised Ramanujan arthithmetical function, and Jordan's totient

Asif Ali (MRR96-040)

On the Wielandt length of subgroups of finite soluble groups

• Abstract
• Download paper (6K gzipped DVI file)

F. Digne, G.I. Lehrer and J. Michel (MRR96-041)

On the Gel'fand-Graev characters of reductive groups with disconnected centre

• Published: J. Reine Angew. Math. 491 (1997), 131-147
• MR 98i:20015

Neil S. Trudinger (MRR96-042)

Weak solutions to Hessian equations

• Published: Comm. Partial Differential Equations 22 (1997), no. 7-8, 1251-1261
• MR 99a:35077

Min-Chun Hong (MRR96-043)

Asymptotic limits of a self-dual Ginzburg-Landau functional in bounded domains

• Abstract
• Download paper (21K gzipped DVI file)
• Published: Manuscripta Math. 97 (1998), no. 2, 251-267
• MR 99j:35201

Pengfei Guan and Xu-Jia Wang (MRR96-044)

On a Monge-Ampère equation arising in geometric optics

• Abstract
• Download paper (24K gzipped DVI file)
• Published: J. Differential Geom. 48 (1998), no. 2, 205-223
• MR 99e:35051

Kai-Seng Chou, Xu-Jia Wang (MRR96-045)

Variational solutions to Hessian equations

• Abstract
• Download paper (48K gzipped DVI file)

Xu-Jia Wang (MRR96-046)

Interior gradient estimates for mean curvature equations

• Abstract
• Download paper (13K gzipped DVI file)
• Published: Math. Z. 228 (1998), no. 1, 73-81
• MR 99f:35055

Kaiseng Chou, Xu-Jia Wang (MRR96-047)

Entire solutions to Laplace equations

• Abstract
• Download paper (5K gzipped DVI file)
• Published: Comm. Pure Appl. Math. 49 (1996), no. 5, 529-539
• MR 96m:35089

Zhicheng Guan, Xu-Jia Wang (MRR96-048)

Critical exponent in a Stefan problem with kinetic condition

• Abstract
• Download paper (73K gzipped PostScript file)
• Published: European J. Appl. Math. 8 (1997), no. 5, 525-532
• MR 98k:35212

Xu-Jia Wang (MRR96-049)

Regularity for Monge-Ampère equation near the boundary

• Abstract
• Download paper (9K gzipped DVI file)
• Published: Analysis 16 (1996), no. 1, 101-107
• MR 96m:35114

Min-Chun Hong (MRR96-050)

On the Jäger-Kaul theorem concerning harmonic maps

• Abstract
• Published: Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 1, 35-46
• MR 2000k:58021

M.R.Osborne (MRR96-051)

Cyclic reduction, dichotomy and the estimation of differential equations

• Abstract
• Download paper (20K gzipped DVI file)
• Published: J. Comput. Appl. Math. 86 (1997), no. 1, 271-286
• MR 98h:34016

Alexander Molev (MRR96-052)

Casimir elements for certain polynomial current Lie algebras

• Abstract
• Download paper (156K gzipped PostScript file)

Derek W. Holtby (MRR96-053)

Higher order interior estimates for fully nonlinear difference equations I

• Abstract

M.F. Newman and E. A. O'Brien (MRR96-054)

Classifying 2-groups by coclass

• Abstract
• Download paper (41K gzipped DVI file)
• Published: Trans. Amer. Math. Soc. 351 (1999), no. 1, 131-169
• MR 99c:20020

G.I. Lehrer (MRR96-055)

The cohomology of the regular semisimple variety

• Published: J. Algebra 199 (1998), no. 2, 666-689
• MR 98k:20080

A.F.M. ter Elst, Derek W. Robinson and Adam Sikora (MRR96-056)

Heat kernels and Riesz transforms on nilpotent Lie groups

• Abstract
• Download paper (42K gzipped DVI file)
• Published: Colloq. Math. 74 (1997), no. 2, 191-218
• MR 99a:35029

Y.K. Zhou and M. T. Batchelor (MRR96-057)

Critical behaviour of the dilute O(n), Izergin-Korepin and dilute A_L face models: Bulk properties

• Abstract
• Published: Nuclear Phys. B 485 (1997), no. 3, 646-664
• MR 98b:82031

Y.-K. Zhou and M.T. Batchelor (MRR96-058)

Spin excitations in the integrable open quantum group invariant supersymmetric t-J model

• Abstract
• Published: Nuclear Phys. B 490 (1997), no. 3, 576-594
• MR 98d:82021

G.I. Lehrer and T.A. Springer (MRR96-059)

Intersection multiplicities and reflection subquotients of unitary reflection groups. I

• Published: Geometric group theory down under (Canberra, 1996), 181-193, de Gruyter, Berlin, 1999
• MR 2000i:20064

A.F.M. ter Elst and Derek W. Robinson (MRR96-060)

Second-order subelliptic operators on Lie groups III: Hölder continuous coefficients

• Abstract
• Download paper (45K gzipped DVI file)
• Published: Calc. Var. Partial Differential Equations 8 (1999), no. 4, 327-363
• CMP 1 700 268 (99:15)

Andrew Hassell (MRR96-061)

Plane Waves for the 3 Body Schrödinger Operator

• Abstract
• Download paper (137K gzipped PostScript file)
• Published: Geom. Funct. Anal. 10 (2000), no. 1, 1-50 as "Distorted plane waves for the 3 body Schrödinger operator"
• MR 2001f:81211

Chris Zoppou and Stephen Roberts (MRR96-062)

Behaviour of Finite Difference Schemes for Advection Diffusion Equations

• Abstract
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Geoffrey B. Campbell (MRR96-063)

Combinatorial identities related to vector partitions

• Abstract
• Download paper (620K gzipped PostScript file)

Geoffrey B. Campbell (MRR96-064)

Visible point vector summations from hypercube and hyperpyramid lattices

• Abstract
• Download paper (874K gzipped PostScript file)
• Published: Internat. J. Math. Math. Sci. 21 (1998), no. 4, 741-748
• MR 99h:11014

R. A. Bryce, V. Fedri and L. Serena (MRR96-065)

A generalised Hughes property for finite groups II

• Abstract
• Download paper (19K gzipped DVI file)
• Published: Proc. Edinburgh Math. Soc. (2) 38 (1995), no. 3, 533-541 as "A Hughes-like property for finite groups"
• MR 96j:20031

Neil S. Trudinger and Xu-Jia Wang (MRR96-066)

Hessian measures

• Abstract
• Published: Topol. Methods Nonlinear Anal. 10 (1997), no. 2, 225-239 1997.
• MR 2000a:35061

Neil S. Trudinger and Xu-Jia Wang (MRR96-067)

A Poincaré type inequality for Hessian integrals

• Abstract
• Published: Calc. Var. Partial Differential Equations 6 (1998), no. 4, 315-328
• MR 99d:58163