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vogelius@math.rutgers.edu

Last updated: 7/18/98

1. First order corrections to the homogenized eigenvalues of a periodic composite medium. The case of Neumann boundary conditions. Preprint (with S. Moskow).
2. An efficient approach to calculate current distributions for electro-deposition of chip interconnections. This Technical Note also appears in the IMA Preprint Series as Preprint #1705, but will otherwise not be submitted for publication (with F. Santosa).
3. Wavelet Based Homogenization of a 2 Dimensional Elliptic Problem. Preprint (with Y. Capdeboscq).
4. A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity. To appear in Annales de l'Institut Henri Poincare (with H-M. Nguyen).
5. Precise bounds for finite time blow-up of solutions to very general one space-dimensional nonlinear Neumann problems. To appear in Quarterly of Applied Mathematics (with K. Bryan)
6. Transient behavior of solutions to a class of nonlinear boundary value problems. To appear in Quarterly of Applied Mathematics (with K. Bryan)
7. Cloaking via change of variables for the Helmholtz Equation. To appear in Communications on Pure and Applied Mathematics (with R.V. Kohn, D. Onofrei and M.I. Weinstein)

1. Full range scattering estimates and their application to cloaking. (with H-M. Nguyen).
2. Some perturbation results associated with irregular perfectly conducting inclusions. (with F. de Gournay).
3. Elliptic estimates in composite media with smooth inclusions: an integral equation approach. (with H. Ammari, E. Bonnetier and F. Triki).