报告摘要：

       The growth of a function, especially that of a solution to a partial differential equation, has a deep relationship with its behavior. In this talk, we will first discuss the various definitions of the growth (vanishing order) of solutions to elliptic equations with help of introducing the frequency functions and doubling index. By establishing monotonicity property, doubling estimates and elliptic estimates related to the growth, we will then explain how to obtain the strong/quantitative unique continuation properties and measure estimates of nodal sets of solutions to elliptic equations.

报告人简介：

       杨孝平，南京大学特聘教授、博士生导师、国家教学名师、全国优秀教师、全国“五一”劳动奖章获得者、教育部数学基础课程教指委委员、中国兵工学会应用数学专业委员会主任委员、曾任江苏省数学会副理事长、曾任江苏省工业与应用数学会副理事长。杨教授长期从事非线性偏微分方程、几何、图像处理等理论及应用的研究，多次主持国家重点自然科学基金项目、国家面上自然科学基金项目。