In this paper, we derive the existence and uniqueness theorem for the adapted solution to backward stochastic differential equations with two barriers under non-Lipschitz condition via penalization method.
In this article,the authors use the special structure of helicity for the threedimensional incompressible Navier-Stokes equations to construct a family of finite energy smooth solutions to the Navier-Stokes equations ...In this article,the authors use the special structure of helicity for the threedimensional incompressible Navier-Stokes equations to construct a family of finite energy smooth solutions to the Navier-Stokes equations which critical norms can be arbitrarily large.展开更多
基金Supported by the Key Science and Technology Project of Ministry of Education(207047)Supported by the Special Project Grants of Anhui Normal University(2006xzx08)+1 种基金Supported by the Project Grants for Younger Teachers of Anhui Normal University(2006xqn49)Supported by NSF of Anhui Educational Bureau(KJ2007A012)
文摘In this paper, we derive the existence and uniqueness theorem for the adapted solution to backward stochastic differential equations with two barriers under non-Lipschitz condition via penalization method.
基金supported by the National Natural Science Foundation of China(No.12171097)the Key Laboratory of Mathematics for Nonlinear Sciences(Fudan University)+1 种基金the Ministry of Education of ChinaShanghai Key Laboratory for Contemporary Applied Mathematics and Shanghai Science and Technology Program(No.21JC1400600)。
文摘In this article,the authors use the special structure of helicity for the threedimensional incompressible Navier-Stokes equations to construct a family of finite energy smooth solutions to the Navier-Stokes equations which critical norms can be arbitrarily large.
