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Full Description
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Partial Differential Equations, held from April 21-22, 2018, at Northeastern University, Boston, Massachusetts.
The book features a series of recent developments at the interface between harmonic analysis and partial differential equations and is aimed toward the theoretical and applied communities of researchers working in real, complex, and harmonic analysis, partial differential equations, and their applications.
The topics covered belong to the general areas of the theory of function spaces, partial differential equations of elliptic, parabolic, and dissipative types, geometric optics, free boundary problems, and ergodic theory, and the emphasis is on a host of new concepts, methods, and results.
Contents
G. Dafni and R. Gibara, BMO on shapes and sharp constants
M. Dai and H. Liu, Applications of harmonic analysis techniques to regularity problems of dissipative equations
N. Garofalo, Two classical properties of the Bessel quotient $I_{v+1}/I_v$ and their implications in PDEs
C. E. Gutierrez and A. Sabra, On the existence of dichromatic single element lenses
E. Indrei, Free boundary regularity near the fixed boundary for the fully nonlinear obstacle problem
D. Mitrea, I. Mitrea, and M. Mitrea, The Poisson integral formula for variable-coefficient elliptic systems in rough domains
M. Taylor, Variations on quantum ergodic theorems, II.
