The Equivalence of Viscosity and Distributional Subsolutions for Convex Subequations – a Strong Bellman Principle
نویسندگان
چکیده
There are two useful ways to extend nonlinear partial differential inequalities of second order: one uses viscosity theory and the other uses the theory of distributions. This paper considers the convex situation where both extensions can be applied. The main result is that under a natural “second-order completeness” hypothesis, the two sets of extensons are isomorphic, in a sense that is made precise.
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تاریخ انتشار 2013