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Title: On types of the resolvent of a complete second order differential operator

In this work we consider the complete second order differential operator, the intermediate coefficient of which is growing rapidly. We find the conditions when its resolvent is compact or belongs to Schatten class, in particular, it is a nuclear operator. The most accurate results are obtained when the coefficient oscillates weakly. In this case we shown that the operator is separable.
Authors:
 [1]
  1. L. N. Gumilyov Eurasian National University, 010008, Astana (Kazakhstan)
Publication Date:
OSTI Identifier:
22488897
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1676; Journal Issue: 1; Conference: International conference on advancements in mathematical sciences, Antalya (Turkey), 5-7 Nov 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CALCULATION METHODS; DIFFERENTIAL CALCULUS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS