A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators

Details A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators

2010-12-14

arxiv.org/abs/1012.3094v1

J. Maths. Pures et Appl., 89, (2008), pp. 567-574

Mathematics

Analysis of PDEs

Scientific paper

The equivalence of three different definitions of viscosity solutions for the
integro-differential equation with the L{\'e}vy operator is shown in this
paper. The key is Lemma 2.1, in which we construct a sequence of the
approximating test functions.

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