A "Maximum Principle for Semicontinuous Functions" Applicable to Integro
Partial Differential Equation
Espen R. Jakobsen and Kenneth H. Karlsen
We formulate and prove a non-local ``maximum principle for semicontinuous
functions'' in the setting of fully nonlinear degenerate elliptic
integro-partial differential equations with integro operators of second
order. Similar results have been used implicitly by several researchers to
obtain comparison/uniqueness results for integro-partial differential
equations, but proofs have so far been lacking.
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- Espen R. Jakobsen,
- Kenneth H. Karlsen,
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June 3 2003.
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