English

Another method of viscosity solutions of integro-differential partial equation by concavity

Probability 2018-09-11 v1

Abstract

In this paper we consider the problem of viscosity solution of integro-partial differential equation(IPDE in short) via the solution of backward stochastic differential equations(BSDE in short) with jumps where L\'evy's measure is not necessarily infinite. We mainly use the concavity of the generator at the level of its second variable to establish the existence and uniqueness of the solution with non local terms.

Keywords

Cite

@article{arxiv.1809.02916,
  title  = {Another method of viscosity solutions of integro-differential partial equation by concavity},
  author = {Lamine Sylla},
  journal= {arXiv preprint arXiv:1809.02916},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1508.04669 by other authors; substantial text overlap with arXiv:1809.02507