Finding Eigenvalues and Eigenfunctions of the Zaremba Problem for the Circle
File(s)
Accepted version
Author(s)
Laptev, A
Peicheva, A
Shlapunov, A
Type
Journal Article
Abstract
We consider Zaremba type boundary value problem for the Laplace operator in the unit circle on the complex plane. Using the theorem on the exponential representation for solutions to equations with constant coefficients we indicate a way to find eigenvalues of the problem and to construct its eigenfunctions.
Date Issued
2016-10-31
Date Acceptance
2016-10-24
Citation
COMPLEX ANALYSIS AND OPERATOR THEORY, 2016, 11 (4), pp.895-926
ISSN
1661-8254
Publisher
SPRINGER
Start Page
895
End Page
926
Journal / Book Title
COMPLEX ANALYSIS AND OPERATOR THEORY
Volume
11
Issue
4
Copyright Statement
© 2016 Springer International Publishing. The final publication is available at: https://dx.doi.org/10.1007/s11785-016-0603-y
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000398768500010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Sturm-Liouville problems
Robin condition
Eigenvalues
SYSTEMS
COMPLETENESS
OPERATORS
General Mathematics
0101 Pure Mathematics
Publication Status
Published