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On Some Integrals on a Surface with a Conical PointDiffer. Uravn., 43
- Publisher
- Springer Journals
- Copyright
- Copyright © 2010 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266110030043
- Publisher site
- See Article on Publisher Site
Abstract
We study elastostatic boundary value problems with a conical boundary point by the method of integral equations. The equations of such problems are singular. In the case of a smooth surface, we construct a regularizer for these equations; in the case of a surface with a conical point, the regularizer is constructed in such a way as to ensure that the kernel of the regularized equation belongs to the class B and satisfies the assumptions of the Fredholm alternative theorem. We analyze the properties of elastic potentials in the case of a surface with a conical point.
Journal
Differential Equations – Springer Journals
Published: Apr 28, 2010