Perturbations of Pseudodifferential Operators with Negative Definite Symbol

Journal Article · Wed Jun 05 00:00:00 EDT 2002 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-001-0040-8· OSTI ID:21067488

Hoh, W. ^[1]

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1. Fakultaet fuer Mathematik, Universitaet Bielefeld, Postfach 100131, D-33501 Bielefeld (Germany), E-mail: [e-mail]

Pseudodifferential operators with negative definite symbols appear as generators of jump-type Markov processes. The purpose of this paper is to treat the large jumps of the process by a perturbation approach for the generator. This is of particular interest since in this way the generators are made accessible to a symbolic calculus of pseudodifferential operators. The main auxiliary result consists of a characterization of tightness of the jump measures in terms of the symbol.

• OSTI ID: 21067488
• Journal Information: Applied Mathematics and Optimization, Vol. 45, Issue 3; Other Information: DOI: 10.1007/s00245-001-0040-8; Copyright (c) 2002 Springer-Verlag New York Inc.; Article Copyright (c) Inc. 2002 Springer-Verlag New York; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MARKOV PROCESS
MATHEMATICAL OPERATORS
MEASURE THEORY
PERTURBATION THEORY