Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball
In this article we study a generalized third boundary-value problem for homogeneous biharmonic equation in a unit ball with general boundary operators up to third order inclusively, containing normal derivatives and Laplacian. A uniqueness theorem for the solution is proved, and some examples ar...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-09-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/244/abstr.html |
| id |
doaj-6ceeb07337e24b989db1e36dc195743f |
|---|---|
| record_format |
Article |
| spelling |
doaj-6ceeb07337e24b989db1e36dc195743f2020-11-24T23:40:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-09-012015244,19Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ballValery V. Karachik0Makhmud A. Sadybekov1Berikbol T. Torebek2 South Ural State Univ., Chelyabinsk, Russia Institute of Mathematics, Almaty, Kazakhistan Institute of Mathematics, Almaty, Kazakhistan In this article we study a generalized third boundary-value problem for homogeneous biharmonic equation in a unit ball with general boundary operators up to third order inclusively, containing normal derivatives and Laplacian. A uniqueness theorem for the solution is proved, and some examples are given.http://ejde.math.txstate.edu/Volumes/2015/244/abstr.htmlBiharmonic equationboundary value problemLaplace operator |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Valery V. Karachik Makhmud A. Sadybekov Berikbol T. Torebek |
| spellingShingle |
Valery V. Karachik Makhmud A. Sadybekov Berikbol T. Torebek Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball Electronic Journal of Differential Equations Biharmonic equation boundary value problem Laplace operator |
| author_facet |
Valery V. Karachik Makhmud A. Sadybekov Berikbol T. Torebek |
| author_sort |
Valery V. Karachik |
| title |
Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball |
| title_short |
Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball |
| title_full |
Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball |
| title_fullStr |
Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball |
| title_full_unstemmed |
Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball |
| title_sort |
uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2015-09-01 |
| description |
In this article we study a generalized third boundary-value
problem for homogeneous biharmonic equation in a unit ball with
general boundary operators up to third order inclusively,
containing normal derivatives and Laplacian. A uniqueness theorem
for the solution is proved, and some examples are given. |
| topic |
Biharmonic equation boundary value problem Laplace operator |
| url |
http://ejde.math.txstate.edu/Volumes/2015/244/abstr.html |
| work_keys_str_mv |
AT valeryvkarachik uniquenessofsolutionstoboundaryvalueproblemsforthebiharmonicequationinaball AT makhmudasadybekov uniquenessofsolutionstoboundaryvalueproblemsforthebiharmonicequationinaball AT berikbolttorebek uniquenessofsolutionstoboundaryvalueproblemsforthebiharmonicequationinaball |
| _version_ |
1725510650477674496 |