Maximum Principle for Solution of Biharmonic Equation in The Ball
The intention of this paper is to estimate the biharmonic equation on a bounded domain in the space for with the boundary condition: where we made a function that equivalent the solution of biharmonic equation: by using and applying the principle of the maximum and minimum value, we...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | Arabic |
| Published: |
Tishreen University
2019-07-01
|
| Series: | مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| Online Access: | http://journal.tishreen.edu.sy/index.php/bassnc/article/view/8825 |
| _version_ | 1797410336991608832 |
|---|---|
| author | عبد الباسط يونسو إبراهيم حنونه |
| author_facet | عبد الباسط يونسو إبراهيم حنونه |
| author_sort | عبد الباسط يونسو |
| collection | DOAJ |
| description |
The intention of this paper is to estimate the biharmonic equation on a bounded domain in the space for with the boundary condition:
where we made a function that equivalent the solution of biharmonic equation:
by using and applying the principle of the maximum and minimum value, we can estimate the solution of biharmonic equation through the boundary value :
where is a continuous function , Laplace operator , biharmonic operator , is the boundary of the domain , is the derivative for the outward rhyming on the boundary of , , and is Nabla’s operator.
|
| first_indexed | 2024-03-09T04:27:31Z |
| format | Article |
| id | doaj.art-1d20486c285f409ab18e947eb5b5a28f |
| institution | Directory Open Access Journal |
| issn | 2079-3057 2663-4252 |
| language | Arabic |
| last_indexed | 2024-03-09T04:27:31Z |
| publishDate | 2019-07-01 |
| publisher | Tishreen University |
| record_format | Article |
| series | مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| spelling | doaj.art-1d20486c285f409ab18e947eb5b5a28f2023-12-03T13:38:37ZaraTishreen Universityمجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية2079-30572663-42522019-07-01413Maximum Principle for Solution of Biharmonic Equation in The Ballعبد الباسط يونسوإبراهيم حنونه The intention of this paper is to estimate the biharmonic equation on a bounded domain in the space for with the boundary condition: where we made a function that equivalent the solution of biharmonic equation: by using and applying the principle of the maximum and minimum value, we can estimate the solution of biharmonic equation through the boundary value : where is a continuous function , Laplace operator , biharmonic operator , is the boundary of the domain , is the derivative for the outward rhyming on the boundary of , , and is Nabla’s operator. http://journal.tishreen.edu.sy/index.php/bassnc/article/view/8825 |
| spellingShingle | عبد الباسط يونسو إبراهيم حنونه Maximum Principle for Solution of Biharmonic Equation in The Ball مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| title | Maximum Principle for Solution of Biharmonic Equation in The Ball |
| title_full | Maximum Principle for Solution of Biharmonic Equation in The Ball |
| title_fullStr | Maximum Principle for Solution of Biharmonic Equation in The Ball |
| title_full_unstemmed | Maximum Principle for Solution of Biharmonic Equation in The Ball |
| title_short | Maximum Principle for Solution of Biharmonic Equation in The Ball |
| title_sort | maximum principle for solution of biharmonic equation in the ball |
| url | http://journal.tishreen.edu.sy/index.php/bassnc/article/view/8825 |
| work_keys_str_mv | AT ʿbdạlbạsṭywnsw maximumprincipleforsolutionofbiharmonicequationintheball AT ạbrạhymḥnwnh maximumprincipleforsolutionofbiharmonicequationintheball |