2017/03/10 by Michel, Vincent
#32c25 #32d15 #32v15 #35r30 #58j32 Secondary 35r30 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary
paper · doi:10.48550/arxiv.1703.03843
This article proposes a process to reconstruct a Riemann surface with boundary equipped with a conductivity tensor from its boundary and its Dirichlet-Neumann operator. When initial data comes from a two dimensional real Riemannian oriented surface equipped with a conductivity tensor, this process recover the whole of what can be determined from this data.