Preprint 2003-040

A "Maximum Principle for Semicontinuous Functions" Applicable to Integro Partial Differential Equation

Espen R. Jakobsen and Kenneth H. Karlsen

Abstract: 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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