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Publications Influence

A global uniqueness theorem for an inverse boundary value problem

- J. Sylvester, G. Uhlmann
- Mathematics
- 1987

In this paper, we show that the single smooth coefficient of the elliptic operator LY = v yv can be determined from knowledge of its Dirichlet integrals for arbitrary boundary values on a fixed… Expand

1,235 118

Corners Always Scatter

- Eemeli Blåsten, L. Päivärinta, J. Sylvester
- Mathematics, Physics
- 8 November 2012

We study time harmonic scattering for the Helmholtz equation in $${\mathbb{R}^n}$$Rn. We show that certain penetrable scatterers with rectangular corners scatter every incident wave nontrivially.… Expand

70 13- PDF

Discreteness of Transmission Eigenvalues via Upper Triangular Compact Operators

- J. Sylvester
- Mathematics, Computer Science
- SIAM J. Math. Anal.
- 21 April 2011

TLDR

74 13- PDF

A uniqueness theorem for an inverse boundary value problem in electrical prospection

- J. Sylvester, G. Uhlmann
- Mathematics
- 1986

We show that a near constant conductivity of a two-dimensional body can be uniquely determined by steady state direct current measurements at the boundary. Mathematically, we show that the… Expand

209 11

The interior transmission problem

- D. Colton, L. Päivärinta, J. Sylvester
- Mathematics
- 2007

The interior transmission problem is a boundary value problem that plays a basic role in inverse scattering theory but unfortunately does not seem to be included in any existing theory in partial… Expand

196 8- PDF

The scattering support

- S. Kusiak, J. Sylvester
- Mathematics
- 1 November 2003

We discuss inverse problems for the Helmholtz equation at fixed energy, specifically the inverse source problem and the inverse scattering problem from a medium or an obstacle. We introduce the… Expand

104 8- PDF

The heat equation and reflected Brownian motion in time-dependent domains

- K. Burdzy, Z. Chen, J. Sylvester
- Mathematics
- 2004

The paper is concerned with reflecting Brownian motion (RBM) in domains with deterministic moving boundaries, also known as "noncylindrical domains,'' and its connections with partial differential… Expand

64 8- PDF

An anisotropic inverse boundary value problem

- J. Sylvester
- Mathematics
- 1 March 1990

We consider the impedance tomography problem for anisotropic conductivities. Given a bounded region Ω in space, a diffeomorphism Ψ from Ω to itself which restricts to the identity on ∂ Ω, and a… Expand

196 7- PDF

A 'range test' for determining scatterers with unknown physical properties

- R. Potthast, J. Sylvester, S. Kusiak
- Mathematics
- 1 June 2003

We describe a new scheme for determining the convex scattering support of an unknown scatterer when the physical properties of the scatterers are not known. The convex scattering support is a subset… Expand

95 6- PDF

Inverse boundary value problems at the boundary—continuous dependence

- J. Sylvester, G. Uhlmann
- Mathematics
- 1 March 1988

We use the methods of microlocal analysis to give a new proof of a theorem of Kohn and Vogelius, showing that the boundary values of a continuous isotropic conductivity can be recovered from voltage… Expand

181 6