Russell Brown | University of Kentucky College of Arts & Sciences

Russell Brown

Professor Emeritus

Contact Information

rmb.uky.math@gmail.com

935 Patterson Office Tower

Research Interests

analysis and partial differential equations
harmonic analysis
inverse problems

Affiliations

Mathematics

Website

Office hours

By appointment. Please make appointments by email.

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

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 L^p 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.