Propagation theorems for some classes of pseudo-differential operators

[摘要] We study continuity properties of the boundary values of the resolvent of perturbations of certain pseudo-differential operators by using recent versions of the conjugate operator method. Our results are optimal on the Holder-Zygmund scale. In particular, three physical situations are included, namely relativistic and non-relativistic Schrodinger operators and the Stark effect hamiltonian. We allow a large class of perturbations by giving an ''optimal'' compromise between regularity and decay at infinity. (C) 1997 Academic Press.

[发布日期] 1997-07-15