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Russell Brown, recent publications.
- List of Publications from Math Sci Net This link requires a subscription to MathSciNet.
- The mixed problem for the Laplacian in Lipschitz domains, with K. Ott, pdf
- Mixed boundary value problems for the Stokes system, with Irina Mitrea, Marius Mitrea and Matt Wright, Trans. Amer. Math. Soc. (to appear) pdf
- The mixed problem for the Lamé system in a class of Lipschitz domains, with Irina Mitrea pdf
- Identifiability at the boundary for first-order terms, with Mikko Salo, Applicable Analysis, 85 (2006), 735-749. pdf
- The mixed problem in L^p for some two-dimensional Lipschitz domains, with Loredana Lanzani and Luca Capogna, Mat. Ann. (to appear), dvi | pdf | ps
- Uniqueness in the inverse conductivity problem for conductivities with 3/2 derivatives in L^p, p>2n with Rodolfo H. Torres dvi | pdf | ps J. Fourier Analysis and Applications 9 (2003), 563-574.
- The Mixed Boundary Problem in $L^p$ and Hardy spaces for Laplace's Equation on a Lipschitz Domain, with Jeffery Sykes Contemporary Math., 277 (2001), 1--18. .ps | .pdf | .dvi
- Estimates for a scattering map associated to a two-dimensional first order system, J. Nonlinear Sci. (2001) .ps | .pdf | .dvi | arXiv | Springer Online First
- Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result, J. inverse and ill-posed prob. 9 (2001). dvi | ps | pdf
- Absorbing boundary technique for open channel flows, with Scott A. Yost and Prasada Rao Int. J. Numer. Meth. Fluids, 33 (2000), 641-656.
- Boundary value problems for higher order parabolic equations, with Wei Hu, Trans. Amer. Math. Soc. 353 (2001) .dvi | .ps | Transactions
- On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains with Peter Perry and Zhongwei Shen, Indiana Univ. Math. J. 49 (2000), no. 1, 81--112. .dvi file, postscript
- Regularity of solutions to a contact problem with Zhongwei Shen and Peter Shi Trans. Amer. Math. Soc. 350 (1998), 4053-4063 .dvi | .ps
- 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, .dvi file, postscript
- The additive turbulent decomposition for the two-dimensional incompressible Navier-Stokes equations: convergence theorems and error estimates with Peter Perry and Zhongwei Shen SIAM J. Applied Math., 59 (1999)
- Weak solutions of parabolic equations in non-cylindrical domains with Wei Hu and Gary Lieberman Proc. Amer. Math. Soc. 125 (1997), 1785-1792, .dvi | postscript
- Estimates for the Stokes operator in Lipschitz domains with Zhongwei Shen, Indiana U. Math. J., 44 (1995), 1183-1206, .dvi | postscript
- The impedance imaging problem for less regular conductivities, SIAM J. Math Anal. 27 (1996), 1049-1056, .dvi file, postscript
- The mixed problem for Laplace's equation in a class of Lipschitz domains, Comm. Partial Differential Equations 19 (1994), no. 7-8, 1217--1233, .dvi | .ps