被撤回的出版物: Multidimensional viscosity solution theory of semi-linear partial differential equations (Retracted article. See vol. 463, pg. 1169, 2018)

[摘要] In this paper, we concern the multidimensional viscosity solution theory of a kind of semi-linear partial differential equations (PDEs). A new definition of viscosity solution for this multidimensional semi-linear PDEs is given. Furthermore, we establish the existence and uniqueness results for the viscosity solution of this semi-linear PDEs via the comparison theorem of the related backward stochastic differential equations (BSDEs) and a smooth approximation techniques. (C) 2017 Elsevier Inc. All rights reserved.

[发布日期] 2017-12-15

[效力级别]  Retracted Publication

[关键词] Multidimensional PDEs;BSDEs;Viscosity solution;Comparison theorem