調和解析定例セミナー

第51回 2025年11月29日(土)　中央大学後楽園キャンパス 5134教室およびオンライン
　　　　　　　　　　　　　　　　　　　　　　　　　　(Room 5134 at Bulding No.5, Chuo University Korakuen Campus )

1. １５：００〜１６：３０　
講演者： Irina Mitrea 氏（Temple University）
　題目： The Art of Integrating by Parts - A Sharp Divergence Theorem with Non-Tangential Traces
　 　概要： The Integration by Parts Formula, which is equivalent with the Divergence Theorem, is one of the most basic tools in Analysis.
Originating in the works of Gauss, Ostrogradsky, and Stokes, the search for an optimal version of this fundamental result continues through this day and these efforts have been the driving force in shaping up entire sub-branches of mathematics, like Geometric Measure Theory. The plan is to review some of these developments (starting from elementary considerations to more sophisticated versions) and to discuss recent results regarding a sharp divergence theorem with non-tangential traces and applications. This is joint work with D. Mitrea and M. Mitrea from Baylor University and is part of our recent five volume series Geometric Harmonic Analysis.

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