Approximate Green's Function for the Conductivity Equation With Conormal Coefficient
Abstract
We construct an approximate Green's function for Lγ=∇ · γ(x) ∇ u(x), which belongs to a class of Fourier Integral Operators (FIOs) associated to two canonical relations. This leads to analysis of the composition of two FIOs, associated to a canonical relation with a zero section problem. The resulting composition is a sum of two FIOs, each associated to two intersecting canonical relations.
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