Analysis Seminar
Analysis Seminar – Tuoc Phan, University of Tennessee, Knoxville
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Calderon-Zygmund theory for nonlinear partial differential equations and applications Abstract: In this talk, we will discuss several recent developments on regularity theory estimates in Sobolev spaces for solutions of several classes of elliptic and parabolic nonlinear PDEs. Some classes of considered equations may be singular and degenerate. Important ideas and techniques will be highlighted. Connections and applications of the results
Colloquium – Yuanzhen Shao, Georgia Southern University
302 Gordon Palmer HallTitle: Singular Manifold Theory and Its Applications Abstract: The aim of this talk is to introduce the concept of singular manifolds, which can describe various kinds of geometric and analytic singularities in a unified way, and then my recent work on the partial differential equation theory over singular manifolds will be presented. Based on this theory, I will investigate several linear and nonlinear parabolic equations arising from geometric analysis and applied sciences. Emphasis will be placed on geometric flows with “bad” initial metrics.
Analysis Seminar – José María Martell (Instituto de Ciencias Matematicas, Madrid Spain)
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesTitle: Understanding BMO and VMO using elliptic systems in the upper-half space Abstract: Harmonic Analysis plays a fundamental role in the study of boundary value problems for elliptic operators. In the simplest case of the Laplacian in the upper half-space, the Dirichlet boundary value problem with data in BMO (i.e., having bounded mean oscillation) is solved
Analysis Seminar – John Oliver MacLellan
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesSpeaker: John-Oliver MacLellan Title: Necessity of Two Weight Ap for L^p Boundedness of Singular Integral Operators Abstract: The goal of this talk is to investigate necessary conditions for a singular integral operator to map L^p(v)-> L^p(u). I will review the classical results for the maximal operator and Hilbert transform and then talk about more recent
Applied Math Seminar – Xiaojing Ye, Georgia State University
302 Gordon Palmer HallTitle: Decentralized consensus optimization on networks with delayed and stochastic gradients Abstract: Decentralized consensus optimization has extensive applications in many emerging big data, machine learning, and sensor network problems. In decentralized computing, nodes in a network privately hold parts of the objective function and need to collaboratively solve for the consensual optimal solution of the
Analysis Seminar – Alexey Karapetyants, Rostov on the Don, Russia
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesTitle: On some Bergman type spaces of functions of nonstandard growth and related questions. Abstracts: We study various Banach spaces of holomorphic functions on the unit disc and half plane. As a main question we investigate the boundedness of the corresponding holomorphic projection. We exploit the idea of V.P.Zaharyuta, V.I.Yudovich (1962) where the boundedness of
Analysis Seminar – Christoph Fischbacher, University of Alabama at Birmingham
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Area Laws for the Entanglement in the XXZ spin chain Abstract: The question on how to rigorously define and prove Many-Body-Localization (MBL) phenomena has attracted significant interest over the recent years. In this talk, we will give a physical motivation for the so-called entanglement entropy (EE) and explain why an area law for the EE can be interpreted
Analysis Seminar – Joe Renzi, University of Alabama
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Two-sided Mullins-Sekerka flow does not preserve convexity, after Uwe F. Mayer Abstract: The (two-sided) Mullins-Sekerka model is a nonlocal evolution model for closed hypersurfaces, which was originally proposed as a model for phase transitions of materials of negligible specific heat. Under this evolution the propagating interfaces maintain the enclosed volume while the area of the