A note on continuity of pseudodifferential operators in Hardy spaces.
A boundary integral equation for Calderón's inverse conductivity problem.
Towards a constructive method to determine an L-conductivity from the corresponding Dirichlet to Neumann operator, we establish a Fredholm integral equation of the second kind at the boundary of a two dimensional body. We show that this equation depends directly on the measured data and has always a unique solution. This way the geometric optics solutions for the L-conductivity problem can be determined in a stable manner at the boundary and outside of the body.
Complex geometrical optics solutions for Lipschitz conductivities.
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