Russell Brown

Research Interests:
analysis and partial differential equations
harmonic analysis
inverse problems
Office hours

By appointment. Please make appointments by email. 

Education

B.A. Rice University, 1980, M.A. University of Minnesota, 1987, Ph.D. University of Minnesota, 1987

Research

Harmonic analysis, partial differential equations and inverse problems.  Please visit my home page at http://www.math.uky.edu/~rbrown/ for more information.

Selected Publications:
  • The mixed problem in Lipschitz domains with general decompositions of the boundary, with J.L. Taylor and K.A. Ott, Trans. Amer. Math. Soc. 365 (2013), 2895-2930, doi
  • The mixed problem in Lp for some two-dimensional Lipschitz domains, with L. Lanzani and L. Capogna, Math. Ann. 342 (2008), 91-124.
  • Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions, with Gunther Uhlmann, Comm. Partial Differential Equations, 22 (1997), no. 5-6, 1009-1027.
  • The method of layer potentials for the heat equation in Lipschitz cylinders, Amer. J. Math. 111 (1989), 339-379.