A structure theory for a class of lattice ordered semirings
Group Rings of Hypercyclic Groups.
On the Structure of Certain PP-Rings.
A domain decomposition algorithm for elliptic problems in three dimensions.
Lectures on constitutive expressions
Global existence for a quasilinear wave equation outside of star-shaped domains
This talk describes joint work with Chris Sogge and Markus Keel, in which we establish a global existence theorem for null-type quasilinear wave equations in three space dimensions, where we impose Dirichlet conditions on a smooth, compact star-shaped obstacle . The key tool, following Christodoulou [1], is to use the Penrose compactification of Minkowski space. In the case under consideration, this reduces matters to a local existence theorem for a singular obstacle problem. Full details will...
A parametrix construction for wave equations with coefficients
In this article we give a construction of the wave group for variable coefficient, time dependent wave equations, under the hypothesis that the coefficients of the principal term possess two bounded derivatives in the spatial variables, and one bounded derivative in the time variable. We use this construction to establish the Strichartz and Pecher estimates for solutions to the Cauchy problem for such equations, in space dimensions and .
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Characterizing rings by their modules
Null form estimates for symbols and local existence for a quasilinear dirichlet-wave equation
Change-Point problems: approaches and applications.
Problems of making inferences about abrupt changes in the mechanism underlying a sequence of observations are considered in both retrospective and on-line contexts. Among the topics considered are the Lindisfarne scribes problem; switching straight lines; manoeuvering targets, and shifts of level or slope in linear time series models. Summary analyses of data obtained in studies of schizophrenic and kidney transplant patients are presented.
Uniform approximation of harmonic functions
Let be an open relatively compact weakly determining subset of a locally compact harmonic space in the axiomatic of Boboc-Constantinescu-Cornea. If is continuous on and harmonic in the may be uniformly approximated on to within by a function harmonic in an open set containing . The proof uses an extension of the Weierstrass-Stone theorem to geometric simplexes.
When does an AB5* module have finite hollow dimension?
Using a lattice-theoretical approach we find characterizations of modules with finite uniform dimension and of modules with finite hollow dimension.
Direct sums of semi-projective modules
We investigate when the direct sum of semi-projective modules is semi-projective. It is proved that if R is a right Ore domain with right quotient division ring Q ≠ R and X is a free right R-module then the right R-module Q ⊕ X is semi-projective if and only if there does not exist an R-epimorphism from X to Q.
Strichartz estimates for the wave equation on manifolds with boundary
Wave equations with low regularity coefficients.
A Weierstrass-Stone theorem for Choquet simplexes
Soit un convexe compact d’un espace localement convexe séparé, soit l’espace de fonctions réelles affines continues sur , et soit un sous-espace de linéaire qui contient les fonctions constantes. Parmi les faces fermées de sur lesquelles les fonctions de sont toutes constantes on appelle les faces maximales -faces. Nos théorèmes principaux donnent quelques conditions sous lesquelles contient exactement ces fonctions qui sont constantes sur chaque -face. En particulier, est dense...
Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes.
Bayesian non-parametric theory: Discussion.
Discussion on the paper by Dalal, Sid R., Nonparametric Bayes decision theory, part of a round table on Bayesian non-parametric theory held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
Coherence of models and utilities: Discussion.
Discussion on the papers by Leonard, Tom, The roles of inductive modelling and coherence in Bayesian statistics and by Novick, Melvin R., Dekeyrel, D.F. and Chuang, D.T., Local and regional coherence utility assessment procedures, both of them part of a round table on Coherence of models and utilities held in the First International Congress on Bayesian Methods (Valencia, Spain, 28 May - 2 June 1979).
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