Email this article Pseudodifferential Operators and Equations of Variable Order
- Authors: Vasilyev V.B.1
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Affiliations:
- Belgorod National Research University
- Issue: Vol 54, No 9 (2018)
- Pages: 1156-1167
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154829
- DOI: https://doi.org/10.1134/S0012266118090045
- ID: 154829
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Abstract
A new class of elliptic pseudodifferential equations of variable order is considered. Local Sobolev–Slobodetskii spaces are introduced and used to obtain theorems on the continuity of these pseudodifferential operators and describe the Fredholm properties of the corresponding pseudodifferential equations and boundary value problems.
About the authors
V. B. Vasilyev
Belgorod National Research University
Author for correspondence.
Email: vbv57@inbox.ru
Russian Federation, Belgorod, 308015
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