Resolvent estimates for some classes of pseudo-differential operators

被引：0
|
作者：
Sahbani, J
机构：
[1] Inst. de Mathematiques de Jussieu, CNRS UMR 9994, Univ. Paris 7-Denis Diderot, 75251 Paris Cedex 05, 2, place Jussieu
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 325卷 / 01期
关键词：
D O I：
10.1016/S0764-4442(97)83945-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the continuity properties of the boundary Values of the resolvent of self-adjoint operators of the form H = H-0 + V, where H-0 is a pseudo-differential operator, while V is an operator that tends to zero at infinity in some sense. In particular, relativistic and non-relativistic Schrodinger operators, Dirac operators, and Stark effect Hamiltonian are included. Our results are optimal on the Holder-Zygmund scale.
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页码：117 / 122
页数：6
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