![]() There is an active weekly seminar in PDE, jointly run with Applied Mathematics. These techniques combine harmonic analysis with elliptic a priori estimates. Another focus of research is the fine properties of solutions of elliptic boundary problems, especially when the boundary has corners. The techniques are primarily analytical, involving a priori PDE estimates, together with methods from dynamical systems, scientific computation, and topology. In particular, waves that occur in shallow water theory, physical plasmas, and elastic solids are under intense study. Mathematics and Music, Salem College Fields of Interest. Much of the research of the PDE group is focused on the behavior of nonlinear waves, such as the existence of periodic waves, scattering and stability theory, and the propagation of shocks and other singularities. Professor, Assistant Chair and Undergraduate Coordinator 91 OS 2007J. A weekly analysis seminar is held, with the active participation of graduate students, faculty, and visiting analysts. Professor, Director of the Calvin Institute of Christian Worship. Hopkins, Michael George Putnam Professor of Pure and Applied Mathematics. In complex variables we have special research interests in the approximation by polynomial and rational functions and in Banach algebras. Harris, Joe Higgins Professor of Mathematics. He is currently Professor of Applied Mathematics at Brown University, and also holds a Joint Faculty Appointment with the Mathematics and Computer Science Group at Oak Ridge National Laboratory, Tennessee. We have particular research interests in singular integral and pseudodifferential operators, wavelets and Fourier analysis, geometric measure-theoretic properties of sets, and applications of operator theory to control theory. Professor Ainsworth obtained his PhD from the University of Durham, United Kingdom in 1989. I eventually had to get the dean involved because the professor kept avoiding my calls and emails.'. The connections among all of these areas are a specialty of ours. 2.'I had a professor who wouldnt let me retake a test after needing to miss it for my mothers funeral. Associate Professor Northwestern University Lunt Hall, B4 awb at northwestern dot edu. Complex Analysis and PDE Group at Brown UniversityĪnalysis at Brown encompasses partial differential equations, complex function theory, harmonic analysis, and operator theory. ![]()
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