The Dirichlet Problem for the Equation Δu−k2u=0 in the Exterior of Nonclosed Lipschitz Surfaces
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-13
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
We study the Dirichlet problem for the equation Δu−k2u=0 in the exterior of nonclosed Lipschitz surfaces in R3.
The Dirichlet problem for the Laplace equation is a particular case of our problem.
Theorems on existence and uniqueness of a weak solution of the problem are proved.
The integral representation for a solution is obtained in the form of single-layer potential.
The density in the potential is defined as a solution of the operator (integral) equation, which is uniquely solvable.
American Psychological Association (APA)
Krutitskii, P. A.. 2013. The Dirichlet Problem for the Equation Δu−k2u=0 in the Exterior of Nonclosed Lipschitz Surfaces. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-461707
Modern Language Association (MLA)
Krutitskii, P. A.. The Dirichlet Problem for the Equation Δu−k2u=0 in the Exterior of Nonclosed Lipschitz Surfaces. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-461707
American Medical Association (AMA)
Krutitskii, P. A.. The Dirichlet Problem for the Equation Δu−k2u=0 in the Exterior of Nonclosed Lipschitz Surfaces. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-461707
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461707
