A “maximum Principle for Semicontinuous Functions” Applicable to Integro-partial Differential Equations
نویسندگان
چکیده
We formulate and prove a non-local “maximum principle for semicontinuous functions” in the setting of fully nonlinear and 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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