Layer potentials for general linear elliptic systems

In this article we construct layer potentials for elliptic differential operators using the Babuska-Lax-Milgram theorem, without recourse to the fundamental solution; this allows layer potentials to be constructed in very general settings. We then generalize several well known properties of layer...

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Bibliographic Details
Main Author: Ariel Barton
Format: Article
Language:English
Published: Texas State University 2017-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/309/abstr.html