Applied Math Seminar: Mariana Smit Vega Garcia (Western Washington Univ.)

Event Details

  • Date: Thursday, Apr 6th 2023 10:00am
  • Venue: 301 TMCB
  • Categories:
  • Topic: Almgren type monotonicity formulas
  • Speaker: Mariana Smit Vega Garcia

Speaker: Mariana Smit Vega Garcia, Western Washington University

Title: Almgren type monotonicity formulas

Abstract: In this talk, we will explore the celebrated Almgren’s monotonicity formula. This beautiful result with far-reaching consequences states that if u is harmonic in the unit ball, then a certain frequency function N(r) is non-decreasing. Moreover, N(r) = k for all 0 < < 1 if, and only if, u is homogeneous of degree k. We will then discuss some of the many applications of this formula, and recent developments connected to it. This is based on joint work with Blair Davey.