Recent Advances In Harmonic Analysis And Partial Differential Equations: Ams Special Sessions, March 12-13, 2011, Statesboro, Georgia: The Jami ... Maryland (contemporary Mathematics)
by Christopher D. Sogge /
2012 / English / PDF
7.8 MB Download
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.
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.