Abstract
We consider linear functionals having the form(Section.Display) for and for some integer , which can occur as nonlocal boundary elements in a discrete boundary value problem. We demonstrate that when y is restricted to a particular cone, it follows that this functional satisfies a coercivity condition, which is readily computable in terms of the Green’s function associated to the boundary value problem. Finally, we prove that the coercivity constant we construct by means of our new cone is superior to an approach utilizing a Harnack-like inequality, and we illustrate this claim by means of some examples.
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