The National Science Foundation Division of Mathematical Sciences awarded a $387,000 Project Grant to the University of Notre Dame DU Lac to conduct research on asymptotic analysis of geometric partial differential equations. This 3-year grant, awarded on September 1, 2023, supports the University's work on nonlinear degenerate or singular elliptic partial differential equations that arise in geometry, physics, and engineering. The research aims to study the properties of solutions to these types of partial differential equations near sets where degeneracy or singularity occurs, and establish new methods and techniques for analyzing the existence and regularity of solutions. The project involves the participation of 3 graduate students in Mathematics and 1 in Electrical Engineering, and is funded under the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), which supports basic and applied research to strengthen the nation's scientific enterprise.
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