中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人:徐龙娟 副研究员(首都师范大学)
题 目:Parabolic systems with piecewise continuous coefficients
时 间:2024.08.08(星期四),下午15:00-16:00
地 点:S803
摘 要:In this talk, I will discuss parabolic systems in divergence form with piecewise DMO and piecewise Hölder continuous coefficients. I will first talk about higher-order derivatives estimates for second-order parabolic systems. Then I will present Schauder estimates for higher-order parabolic systems.
报告人:蒋仁进 教授(首都师范大学大学)
题 目:Recent progress on Riesz transform on manifolds and applications
时 间:2024.08.08(星期四),下午16:00-17:00
地 点:S803
摘 要:In this talk, we briefly report recent progress on the study of Riesz transform on manifolds and Euclidean domains. We shall introduce the background and previous results and questions on this topic, among which the heat kernel and harmonic functions play important roles. We also report our recent progress and make some applications to elliptic equations.
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