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Fundamental solutions and Green functions for non-homogeneous elliptic systems

Connections for Women: Harmonic Analysis January 19, 2017 - January 20, 2017

January 20, 2017 (02:00 PM PST - 02:30 PM PST)
Speaker(s): Blair Davey (City College, CUNY)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • fundamental solutions

  • Green functions

  • elliptic systems

  • non-homogeneous

  • PDE

  • harmonic analysis

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Fundamental Solutions And Green Functions For Non-Homogeneous Elliptic Systems

Abstract

In this talk, we consider non-homogeneous, second order, uniformly elliptic systems of partial differential equations. We show that, within a suitable framework, we can define the fundamental solution and the Green functions on arbitrary open subsets. Moreover, we can prove uniqueness and global estimates that are on par with those of the underlying homogeneous elliptic operator. Our results, in particular, establish the Green functions for Schrodinger, magnetic Schrodinger, and generalized Schrodinger operators with real or complex coefficients on arbitrary domains

Supplements
27802?type=thumb Davey Notes 308 KB application/pdf Download
Video/Audio Files

Fundamental Solutions And Green Functions For Non-Homogeneous Elliptic Systems

H.264 Video 08-Davey.mp4 140 MB video/mp4 rtsp://videos.msri.org/data/000/027/648/original/08-Davey.mp4 Download
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