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Harmonic Analysis and Partial Differential Equations

Organizer(s):
Name:	Affiliation:	Country:
William Bray	Missouri State University	USA
Dorina Mitrea	Baylor University	USA

Abstract:

Historically, harmonic analysis and partial differential equations form key corner stones of mathematics, with close ties. Focal points for the session are topics in either area and, in particular,the interplay between them. Keywords include, but are not limited to: boundary value problems, norm estimates, Fourier analysis, Radon transforms, singular integrals, notions from geometric measure theory such as harmonic measure and rectifiability.

List of approved abstract
Name	Affiliation	Title
Ryan Alvarado	Amherst College	The role of geometry in the theory of function spaces
Cherif Amrouche	University de Pau et des Pays de l`Adour	Elliptic Problems in Lipschitz and in $\\\\\\\\mathcal{C}^{1,1}$ Domains
Donatella Danielli	Arizona State University	Space-like Strong Unique Continuation for Some Fractional Parabolic Equations
Irina Holmes Fay	Texas A&M University	Two-Weight Bounds for Paraproducts and Sparse Operators
Narek Hovsepyan	Rutgers University	Far field broadband approximate cloaking for the Helmholtz equation with a Drude-Lorentz refractive index
Marcus Laurel	Baylor University	The Higher Order Regularity Problem with Data in Generalized Banach Function Spaces
Azita Mayeli	City University of New York	On the eigenvalue distribution of time-frequency limiting operators on higher dimensions
Irina Mitrea	Temple University	On the Radon-Carleman Problem in Irregular Domains
Marius Mitrea	Baylor University	Integral Operators and Boundary Value Problems for Weakly Elliptic Systems
Katharine Ott	Bates College	Estimates for Brascamp-Lieb forms in $L^p$-spaces with power weights
Sarah Raynor	Wake Forest University	Neumann Boundary Regularity for Free Boundary Problems
Pedro Takemura Feitosa da Silva	Baylor University	The Dirichlet Problem on Rough Domains with data in Herz Spaces
Matt Wright	Missouri State University	The Spectrum of Boundary Integral Operators on Sobolev spaces