Multidimensional Inverse Problems for Differential Equations

absolutely integrable Akad apply arbitrary arrive assume belong boundary conditions bounded chapter circle coefficients consider construct continuous function coordinates corresponding curves defined Denote derive determine determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution exists expression family of curves fixed formula functions u(r geometry given GREEN'S function half-plane Hence holds inequality integral equation Introduce inverse problem known linearized lying mathematical mean method multidimensional namely Nauk SSSR Notes obtain operator origin parameters plane polar properties proved question radius reduced relations represented respect right-hand side satisfies solution to equation space spheres Substituting sufficient surface telegraph equation theorem theory unique uniqueness theorem unit values variables waves York