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Nekotorye klassy uravnenii v chastnykh proizvodnykh (Some Classes of Partial Differential Equations)
- Publisher
- Springer Journals
- Copyright
- Copyright © 2014 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266114040107
- Publisher site
- See Article on Publisher Site
Abstract
For a second-order elliptic system with a supersingular circle whose leading part is the Bitsadze operator, we obtain an integral representation of the solution and the corresponding inversion formulas in the finite and infinite domains. The obtained integral representations are used to study the behavior of solutions as r → R and analyze a problem of linear transmission type.
Journal
Differential Equations – Springer Journals
Published: May 11, 2014