Analysis Seminar
Analysis Seminar – Selim Sukhtaiev (Auburn University)
ZoomTitle: Anderson localization for disordered graphs Abstract: In this talk, we will discuss a mathematical treatment of a disordered system modeling localization of quantum waves in random media. We will show that the transport properties of several natural Hamiltonians on metric and discrete trees with random branching numbers are suppressed by disorder. This phenomenon is
Analysis Seminar – Hengrong Du (Purdue University)
ZoomTitle: Suitable weak solutions of the Ericksen--Leslie system for nematic liquid crystal flows Abstract: In this talk, we will discuss the Ericksen--Leslie system modeling the hydrodynamics of nematic liquid crystals. It is a strongly coupled PDE system between incompressible Navier--Stokes equations for the underlying fluid velocity field and gradient-flow-like equations for the director field describing
Analysis Seminar – Tess Anderson (Purdue University)
ZoomTitle: Dyadic analysis (virtually) meets number theory Abstract: In this talk we discuss two ways in which dyadic analysis and number theory share a rich interaction. The first involves a complete classification of "distinct dyadic systems". These are sets of grids which allow one to compare any Euclidean ball nicely with any dyadic cube, and
Analysis Seminar – Tess Anderson (Purdue University)
ZoomTitle: Dyadic analysis (virtually) meets number theory Abstract: In this talk we discuss two ways in which dyadic analysis and number theory share a rich interaction. The first involves a complete classification of "distinct dyadic systems". These are sets of grids which allow one to compare any Euclidean ball nicely with any dyadic cube, and
Analysis Seminar – John Oliver MacLellan (University of Alabama)
ZoomTitle: Necessary Conditions for Two Weight Weak Type Norm Inequalities for Multilinear Singular Integral Operators Abstract: In this talk we will discuss necessary conditions for a multilinear singular operator T to satisfy two weight weak type norm inequalities provided the kernel of T satisfies a weak non degeneracy condition. As an application of our techniques
Analysis Seminar – Michael Penrod (University of Alabama)
ZoomTitle: Poincare Inequalities and Neumann Problems for the p(.) Laplacian Abstract: In this talk, we discuss an established result proving an equivalence between weighted Poincare inequalities and the existence of weak solutions to a family of Neumann problems related to a degenerate p-Laplacian. We then extend this result to the variable exponent setting. We also
Analysis Seminar – Quan Tran (University of Alabama)
ZoomTitle: Two weight bump conditions for commutators. Abstract: In this talk, we give some two weight conditions that are sufficient for the boundedness of commutators of Calderón-Zygmund operators.
Analysis Seminar by Simon Bortz
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Parabolic Lipschitz Domains and Caloric Measure Abstract: Since the pioneering work of Dahlberg, the study of quantitative “L^p” solvability of boundary value problems for elliptic and parabolic operators in non-smooth domains have been of considerable interest. (So much so that I won’t attempt to put sufficient history in this abstract!) Dahlberg’s fundamental contribution to
Analysis Seminar: Lukas Bundrock (University of Alabama)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Geometric Optimization of the Robin Eigenvalue Problem in the Complement of a Bounded Set Abstract: We consider the Laplace operator under Robin boundary conditions in the complement of a compact set. In contrast to bounded domains, the spectrum here is not purely discrete. We characterize the discrete spectrum using an appropriate Steklov Eigenvalue problem, with the peculiarity
Analysis Seminar: Pablo Hidalgo-Palencia (ICMAT, Madrid).
226 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Connections between geometry and PDE in sets with poor connectivity. Abstract: How irregular can the boundary of a domain be if we still want nice PDE properties to hold? To answer this (apparently geometric/PDE) question, many authors have shown in the last 50 years that Harmonic Analysis plays a crucial role if we want