On Wave Operators for the Multidimensional Electromagnetic Schrödinger Operator in the Divergent Form

By the Cook method, we prove the existence of wave operators for the multidimensional electromagnetic Schrödinger operator in the divergent form. Moreover, under certain conditions imposed on the coefficients of a given operator, we establish the isometry of its wave operators and determine the init...

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Bibliographic Details
Published inUkrainian mathematical journal Vol. 68; no. 8; pp. 1153 - 1164
Main Authors Aliev, A. R., Éivazov, É. Kh
Format Journal Article
LanguageEnglish
Published New York Springer US 2017
Springer
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Electromagnetism
Geometry
Mathematics
Mathematics and Statistics
Operators
Statistics
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Summary:By the Cook method, we prove the existence of wave operators for the multidimensional electromagnetic Schrödinger operator in the divergent form. Moreover, under certain conditions imposed on the coefficients of a given operator, we establish the isometry of its wave operators and determine the initial domains of these operators.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-017-1284-z