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Propagation Theorems for Some Classes of Pseudo-Differential Operators

✍ Scribed by Jaouad Sahbani

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
293 KB
Volume
211
Category
Article
ISSN
0022-247X

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✦ Synopsis

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.

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