Seminars & Colloquia Calendar

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"A brief overview of the history of the solvability of PDEs "

François Treves , Rutgers University

Location:  HILL 705
Date & time: Friday, 14 April 2017 at 4:00PM - 5:00PM



Time: 4:00 PM
Location: Hill 705
Abstract: The talk is purely historical, starting with PDE's in the 19-th century (Fourier transform and the heat equation, Cauchy-Kowalewski Theorem, harmonic functions, Maxwell equations) to the 20-th through Hadamard's work, with particular attention to developments in the second half of the last century. I will try to explain the transition from linear differential operators to pseudodifferential operators and the successful application of the latter to the complete analysis of linear PDE with simple real characteristic (basic definitions will be provided under assumption that the audience knows little about the whole subject). I hope to have time to indicate some glaring open problems.

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