33 citations · 61 across the 3 of their papers we have counts for
4 papers
Heat kernel for the elliptic system of linear elasticity with boundary conditions
Justin Taylor, Seick Kim, Russell Brown
We consider the elliptic system of linear elasticity with bounded measurable coefficients in a domain where the second Korn inequality holds. We construct heat kernel of the system…
The Green function for elliptic systems in two dimensions
J. L. Taylor, S. Kim, R. M. Brown
We construct the fundamental solution or Green function for a divergence form elliptic system in two dimensions with bounded and measurable coefficients. We consider the elliptic s…
The mixed problem in Lipschitz domains with general decompositions of the boundary
Justin L. Taylor, Katharine A. Ott, Russell M. Brown
This paper continues the study of the mixed problem for the Laplacian. We consider a bounded Lipschitz domain , , with boundary that is decomposed as $\p…
Convergence of Dirichlet Eigenvalues for Elliptic Systems on Perturbed Domains
Justin L. Taylor
We consider the eigenvalues of an elliptic operator for systems with bounded, measurable, and symmetric coefficients. We assume we have two non-empty, open, disjoint, and bounded s…