中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
报告人：Prof. Hongjie Dong （Brown University）
题 目：A priori estimates for nonlocal fully nonlinear equations
时 间：2017.07.10（星期一），16:20-17:20
地 点：数学院南楼N913室
摘 要：In 1934, J. Schauder first established by now well-known Schauder estimates for linear elliptic equations, which became an indispensable tool in the theory of partial differential equations. For fully nonlinear concave elliptic equations, such result was obtained by M. V. Safonov in 1988, following the seminal work of L. C. Evans and N. V. Krylov in early 1980s. I will present some recent work on Schauder estimates for a class of concave fully nonlinear nonlocal elliptic and parabolic equations with rough and non-symmetric kernels, where the data are allowed to be bounded and measurable. A further Dini type estimate for equations with drift terms will also be discussed. In particular, we allow drift terms even when the leading operator is of the first order.
