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Second Prairie Analysis
Seminar

 



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First Prairie Analysis Seminar


 

Talks and Abstracts

Daniel Tataru   (slides of the talks)

1. Nonlinear wave equations and wave parametrices
The aim of this talk is to provide an introduction for the local theory for nonlinear wave equation. Also we describe some of the tools for the parametrix constructions for linear wave equations, and their use in the study of nonlinear waves.

2. Sharp local well-posedness for nonlinear wave equations
The purpose of this talk is to describe the recent joint work with Hart Smith, whose aim is to establish sharp local results for nonlinear wave equations.

Camil Muscalu

Multilinear singular integrals
We will review some results of the "modern" theory of multilinear singular integrals (and their maximal "Carleson type" analogues), as they have been developed over the last few years. Most of the theorems we are going to present, have been obtained in collaboration with Terence Tao and Christoph Thiele.

Wilhelm Schlag   (slides of the talk)

On the Hardy-Littlewood majorant problem for random sets
Hardy and Littlewood observed that L^p norms of functions on the circle obey a certain monotonicity property with respect to the Fourier coefficients provided that p is an even integer. If p>2 is not an even integer, then it is known that this property will fail. The question arises whether it remains correct for trigonometric polynomials in some quantitative form depending on the degree. We will present recent Work with Gerd Mockenhaupt on this question.


Contributed Talks



Organizers:

Estela A. Gavosto, KU
Marianne Korten, KSU
Charles Moore, KSU
Rodolfo H. Torres, KU

 

The Prairie Analysis Seminar is a joint project of the Department of Mathematics of The University of Kansas and the Department of Mathematics of Kansas State University.

The picture of the Kansas Prairie is a courtesy of the  Kansas Geological Survey.