走向现代数学学术报告-董伟松博士（No. 550）

报告题目：Estimates for not orthogonally invariant fully nonlinear equations and applications

报 告 人：董伟松 博士（天津大学）

报告时间：2022年11月09号15:00

报告地点：腾讯会议ID：792 842 720

摘要:In this talk, we introduce the definition of fully nonlinear equations that are not orthogonally invariant and derive a priori estimates for the gradient and the Hessian of admissible solutions. As an application of these estimates, we prove that there exists a unique smooth solution to the Monge-Ampere type equation on flat n-torus. This is a joint work with YanYan Li.

报告人简介：董伟松，天津大学数学学院讲师，博士毕业于哈尔滨工业大学。主要研究兴趣为完全非线性方程。已在《Journal of Functional Analysis》、《Discrete and Continuous Dynamical Systems. Series A》、《Journal of Differential Equations》、《Revista Matematica Iberoamericana》等期刊上发表多篇论文。主持国家自然科学基金青年基金项目一项。