Geometrical optics for the fractional Helmholtz equation and applications to inverse problems

Giovanni Covi, Maarten de Hoop, Mikko Salo

In this paper we construct a parametrix for the fractional Helmholtz equation $((-\Delta {)}^s-{\tau }^{2s}r(x{)}^{2s}+q(x))u=0$ making use of geometrical optics solutions. We show that the a…