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On the Modified Jump Problem for the Laplace Equation in the Exterior of Cracks in a Plane
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The boundary value problem for the Laplace equation outside several cracks in a plane is studied.
The jump of the solution of the Laplace equation and the boundary condition containing the jump of its normal derivative are specified on the cracks.
The problem has unique classical solution under certain conditions.
The new integral representation for the unique solution of this problem is obtained.
The problem is reduced to the uniquely solvable Fredholm equation of the second kind and index zero.
The integral representation and integral equation are essentially simpler than those derived for this problem earlier.
The singularities at the ends of the cracks are investigated.
American Psychological Association (APA)
Krutitskii, P. A.& Sasamoto, A.. 2012. On the Modified Jump Problem for the Laplace Equation in the Exterior of Cracks in a Plane. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-482321
Modern Language Association (MLA)
Krutitskii, P. A.& Sasamoto, A.. On the Modified Jump Problem for the Laplace Equation in the Exterior of Cracks in a Plane. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-482321
American Medical Association (AMA)
Krutitskii, P. A.& Sasamoto, A.. On the Modified Jump Problem for the Laplace Equation in the Exterior of Cracks in a Plane. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-482321
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482321