On removable singularities of locally solvable differential operators

Springer Science and Business Media LLC - Tập 126 - Trang 589-623 - 1996
Jorge Hounie1, Joaquim Tavares2
1Departamento de Matemática, UFSCar, 13.565-905, São Carlos, Brasil , , XX
2Departamento de Matemática, UFPE, 50.740-540, Recife, Brasil, , XX

Tóm tắt

We study removable sets of solutions of locally solvable partial differential operators with smooth coefficients and characterize them in terms of capacity in the sense of Harvey and Polking. For operators of order one we are able to give a geometric characterization of removable sets in terms of orbits in the sense of Sussmann.