English

Approximate Green's Function for the Conductivity Equation With Conormal Coefficient

Analysis of PDEs 2016-06-01 v1

Abstract

We construct an approximate Green's function for Lγ=γ(x)u(x)L_{\gamma}=\nabla \cdot \gamma(x) \nabla 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.

Cite

@article{arxiv.1605.09706,
  title  = {Approximate Green's Function for the Conductivity Equation With Conormal Coefficient},
  author = {Denitza Ivanova Straub},
  journal= {arXiv preprint arXiv:1605.09706},
  year   = {2016}
}

Comments

29 pages

R2 v1 2026-06-22T14:14:00.437Z