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

By appointment. Please make appointments by email.

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 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.