15 citations · 18 across the 9 of their papers we have counts for
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Extrapolation of well posedness for higher order elliptic systems with rough coefficients
Ariel Barton
In this paper we study boundary value problems for higher order elliptic differential operators in divergence form. We establish well posedness for problems with boundary data in B…
Layer potentials for general linear elliptic systems
Ariel Barton
In this paper we construct layer potentials for elliptic differential operators using the Lax-Milgram theorem, without recourse to the fundamental solution; this allows layer poten…
Dirichlet and Neumann boundary values of solutions to higher order elliptic equations
Ariel Barton, Steve Hofmann, Svitlana Mayboroda
We show that if is a solution to a linear elliptic differential equation of order in the half-space with -independent coefficients, and if satisfies certain a…
The Neumann problem for higher order elliptic equations with symmetric coefficients
Ariel Barton, Steve Hofmann, Svitlana Mayboroda
In this paper we establish well posedness of the Neumann problem with boundary data in or the Sobolev space , in the half space, for linear elliptic differenti…