期刊
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
卷 13, 期 2, 页码 137-165出版社
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00030-005-0031-6
关键词
integro-partial differential equation; viscosity solution; comparison principle; uniqueness; Bellman equation; Isaacs equation
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 compare/uniqueness results for integro-partial differential equations, but proofs have so far been lacking.
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