Maximum Principle for Solution of Biharmonic Equation in The Ball

Authors

  • Abd Elbasset Younso
  • Ibrahim Hanouneh

Abstract

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.

 

 

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Published

2019-07-03

How to Cite

1.
Younso AE, Hanouneh I. Maximum Principle for Solution of Biharmonic Equation in The Ball. TUJ-BA [Internet]. 2019Jul.3 [cited 2024Apr.25];41(3). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/8825

Issue

Vol. 41 No. 3 (2019): العلوم الأساسية

Section

Articles

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