Maximum Principle for Solution of Biharmonic Equation in The Ball
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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