Math Department
Applied Math Seminar – Hongsong Feng, University of Alabama
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Augmented matched interface and boundary(AMIB) method for elliptic interface problem and a high order fast Poisson solver Abstract: The elliptic interface problem plays an important role in fields such as electromagnetics, bimolecular electrostatics, and material science. This talk introduces augmented matched interface and boundary method that is applied to obtain second order fast solution
Colloquium – Joris Roos, University of Wisconsin-Madison
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesColloquium – Joseph Feneuil, Temple University
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesColloquium – Simon Bortz, University of Washington
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesColloquium – Polona Durcik, California Institute of Technology
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesApplied Math Seminar – Toai Luong (University of Alabama)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Minimizers for the Cahn-Hilliard energy functional under the Dirichlet boundary conditions Abstract: We study the minimizers for the Cahn-Hilliard energy functional with a symmetric quartic double-well potential and under the Dirichlet boundary conditions. Using the Nehari manifold method and connecting it to the eigenvalue problem for the negative Laplacian with the homogeneous boundary condition, we prove that if the boundary value is
Analysis Seminar – Vjekoslav Kovac (University of Zagreb, Croatia and Georgia Tech)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: A Szemeredi-type theorem for subsets of the unit cube. Abstract: We are interested in arithmetic progressions in positive measure subsets of ^d. After a counterexample by Bourgain, it seemed as if nothing could be said about the longest interval formed by sizes of their gaps. However, Cook, Magyar, and Pramanik gave a positive result
Analysis Seminar – José Luis Luna Garcia (University of Missouri)
ZoomTitle: Critical Perturbations and Solvability for Elliptic Equations Abstract: In this talk we will present recent results concerning solvability of certain Boundary Value Problems associated to a general linear second order elliptic equation, under the assumption that the equation is close, in some critical Lebesgue spaces for the coefficients, to an equation for which solvability
Analysis Seminar – John Hoffman (University of Missouri)
ZoomTitle: Regular Lip(1,1/2) Approximation of Parabolic Hypersurfaces Abstract: A classical result of David and Jerison states that a regular, n-dimensional set in R^{n+1} satisfying a two sided corkscrew condition is quantitatively approximated by Lipschitz graphs. After reviewing this result, we will discuss some recent advances in extending this result to the parabolic setting. The proofs
Analysis Seminar – Bruno Poggi (University of Minnesota)
ZoomTitle. Additive and scalar-multiplicative Carleson perturbations of elliptic operators on domains with low dimensional boundaries. Abstract. At the beginning of the 90s, Fefferman, Kenig and Pipher (FKP) obtained a rather sharp (additive) perturbation result for the Dirichlet problem of divergence form elliptic operators. Without delving into details, the point is that if the (additive)