| Analysis Research Group | |
| Analysis
Seminar (Fall 2007) Wednesday 4:30 - 5:20 pm Cardwell 131 (except when otherwise noted) |
Organizer: Charles Moore Previous semesters: Spring 2006, Fall 2006, Spring 2007 |
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Wednesday, September 5 - Chuck Moore Extrapolation methods and Fourier Series Abstract: We discuss two sequence acceleration methods and their applications to Fourier series. Wednesday, September 12 - Virginia Naibo Schrodinger wave operators Abstract: I will discuss some notions of scattering theory in the context of Schrodinger equations with a potential. In particular I will talk about existence and Lp boundedness properties of wave operators. Wednesday, September 19 - David Auckly Topological constraints and function spaces Wednesday, September 26 - Rachel Kuske, University of British Columbia Measuring noise-sensitivity in dynamical systems We outline asymptotic approaches for analyzing and quantifying the effects of small noise in certain types of dynamics. To illustrate the methods, we will focus on two main areas: metastable interfaces and stochastic effects inmodels with delay. In these systems, small noise can result in significant qualitative variation in behavior.Although very different models, they have many similarities from the viewpoint of stochastic dynamics. Generalizations to other areas will also be discussed. Wednesday, October 3 - Dave Auckly Topological constraints and function spaces II Wednesday, October 10 - Ray Treinen Annular Capillary surfaces The shape of the interface
between two fluids in equilibrium has a long history with rigorous work
going back to Laplace and Young. Much attention has been paid to
the "capillary tube" where the fluid rises (or falls) within a narrow
tube inserted into a reservoir of fluid. It is somewhat
surprising that the related configuration with an annular base domain
has not been previously scrutinized. I will give short proofs of
basic results and give some details from my current work on this
problem. If time premits I will also give some examples of
applications and open problems.
Wednesday, October 17- Ray Treinen Annular Capillary surfaces, continued Friday, November 2 and Saturday, November 3- Prairie Analysis Seminar Wednesday, November 7 - Dan Volok Rational Hyperholomorphic functions Wednesday, November 14 - Carlos Pérez, Universidad de Sevilla, visiting University of Kansas Multilinear harmonic analysis: recent results In this talk we plan to present some results concerning Multilinear Harmonic Analysis related to Calderón-Zygmund Singular Integrals. We will show that these Multilinear Singular Integrals are controlled by an appropriate new multilinear maximal function allowing to build the appropriate multilinear Ap theory of weights. We will also consider commutators with B.M.O. functions and show the sharp multilinear end-point estimate. Wednesday, November 28 - Diego Maldonado On the linearized Monge-Ampere equation We study properties of the solutions to the linearized Monge-Ampere equation under weak measure theoretic assumptions. This is joint work (in progress) with Liliana Forzani. Monday, December 3 - Kaj Nystrom, visiting the University of Kentucky Regularity of Free Boundaries in Two-phase Problems for the p-Laplace operator. In this talk I will discuss recent joint work with John Lewis concerning the regularity of free boundaries in two-phase problems for the p-Laplace operator. |