A remark on the definitions of viscosity solutions for the integro-differential equations with L{\'e}vy operators
Analysis of PDEs
2010-12-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1012.3094,
title = {A remark on the definitions of viscosity solutions for the integro-differential equations with L{\'e}vy operators},
author = {M. Arisawa},
journal= {arXiv preprint arXiv:1012.3094},
year = {2010}
}