29 citations · 81 across the 6 of their papers we have counts for
5 papers · 1 filter
Action of a scattering map on weighted Sobolev spaces in the plane
R. M. Brown, K. A. Ott, P. A. Perry
We consider a scattering map that arises in the -approach to the scattering theory for the Davey-Stewartson II equation and show that the map is an invertible map b…
The Green function for the mixed problem for the linear Stokes system in domains in the plane
K. A. Ott, S. Kim, R. M. Brown
We construct the Green function for the mixed boundary value problem for the linear Stokes system in a two-dimensional Lipschitz domain.
The mixed problem for the Lamé system in two dimensions
Katharine A. Ott, Russell M. Brown
We consider the mixed problem for the Lamé system of elasticity in a bounded Lipschitz domain . We suppose that the boundary is written as the union of two…
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…
The mixed problem for the Laplacian in Lipschitz domains
Katharine A. Ott, Russell M. Brown
We consider the mixed boundary value problem or Zaremba's problem for the Laplacian in a bounded Lipschitz domain in R^n. We specify Dirichlet data on part of the boundary and Neum…