Regarding the boundary conditions often associated with this operator, why is the assumption
$\Delta^{2} u=0$ commonly made, and what are the implications of this hypothesis for the solution properties of the associated EDPs?
Regarding the boundary conditions often associated with this operator, why is the assumption
$\Delta^{2} u=0$ commonly made, and what are the implications of this hypothesis for the solution properties of the associated EDPs?
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