第136回

日時 Time

2025年11月17日(月) 16:00-17:30
November 17th 2025 (Monday) 16:00-17:30JST

場所 Place

自然科学５号館数学棟４階コロキウム
NST Hall 5, Math building, 4th floor, Colloqium room

講演者 Speaker

Irina Mitrea (Temple University)

タイトル Title

The Art of Integrating by Parts: A Sharp Divergence Theorem with Non-Tangential Traces

概要 Abstract

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 subbranches of mathematics, like Geometric Measure Theory. In this talk I will review some of these developments (starting from elementary considerations to more sophisticated versions) and I will discuss recent results regarding a sharp divergence theorem with non-tangential traces. This is joint work with D. Mitrea and M. Mitrea from Baylor University and the topic is the focus of the first volume in our recent five volume research monograph series titled Geometric Harmonic Analysis.