报告人:赵世良(四川大学)
邀请人:郑权
报告时间:2021年9月18日(星期六)14:30-16:30
报告地点:科技楼(南楼)607室
报告题目: Regularity of Feynman Path Integral
报告摘要: We prove that the integral kernel of the Schrodinger group is jointly continuous for a class of potentials which need not to be smooth. As a byproduct, we prove a short time asymptotic estimate for the integral kernel of the Schrodinger group. Moreover, when V belongs to Schwartz function classes, we can write the Schrodinger group as a Fourier integral operator and give an expansion of the symbols.
报告人简介: 赵世良博士毕业于复旦大学,现为四川大学助理研究员,研究方向包括调和分析及其应用,目前主持国家自然科学基金一项。