Recent Advances in Harmonic Analysis and Partial Differential Equations: Ams Special Sessions, March 12-13, 2011, Statesboro, Georgia: the Jami ... Maryland

Ebook Details

Authors

Andrea R. Nahmod, Christopher D. Sogge, Xiaoyi Zhang

Year 2012
Pages 285
Publisher Amer Mathematical Society
Language en
ISBN 9780821869215
File Size 7.08 MB
File Format PDF
Download Counter 99
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Ebook Description

This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them. This volume consists of invited expositions as well as research papers that address prospects of the recent significant development in the field of analysis and PDE. The central topics mainly focused on using Fourier, spectral and geometrical methods to treat wellposedness, scattering and stability problems in PDE, including dispersive type evolution equations, higher-order systems and Sobolev spaces theory that arise in aspects of mathematical physics. The study of all these problems involves state-of-the-art techniques and approaches that have been used and developed in the last decade. The interrelationship between the theory and the tools reflects the richness and deep connections between various subjects in both classical and modern analysis.