Avy Soffer's Books

This book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schrödinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schrödinger equations. Researchers who are interested in partial differential equations and mathematical physics might find this book appealing.

This volume contains the proceedings of the AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations and the AMS Special Session on PDE Analysis on Fluid Flows, which were held in January 2017 in Atlanta, Georgia. These two sessions shared the underlying theme of the analysis aspect of evolutionary PDEs and mathematical physics. The articles address the latest trends and perspectives in the area of nonlinear dispersive equations and fluid flows. The topics mainly focus on using state-of-the-art methods and techniques to investigate problems of depth and richness arising in quantum mechanics, general relativity, and fluid dynamics.

Book's by Avy Soffer

Bilinear Estimates in the Presence of a Large Potential and a Critical NLS in 3D

Bilinear Estimates in the Presence of a Large Potential and a Critical NLS in 3D

Time Dependent Phase Space Filters

Time Dependent Phase Space Filters

Nonlinear Dispersive Waves and Fluids

Nonlinear Dispersive Waves and Fluids

Time Dependent Phase Space Filters

Time Dependent Phase Space Filters

Bilinear Estimates in the Presence of a Large Potential and a Critical NLS in 3D

Bilinear Estimates in the Presence of a Large Potential and a Critical NLS in 3D

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