Project Grant 2247185
- This National Science Foundation project grant of $428,169 supports research in harmonic analysis and partial differential equations at the University of Illinois from August 2022 through July 2025. The award is funded through the Mathematical and Physical Sciences program (CFDA 47.049). The project involves foundational research in harmonic analysis and analysis of partial differential equations with a focus on long-time dynamical properties and decay estimates. Specific areas of study...
- The National Science Foundation Division of Mathematical Sciences awarded The Leland Stanford Junior University $611,138 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from July 1, 2023 to June 30, 2026. The Project Grant funding will support research developing and applying methods in microlocal analysis to problems involving wave propagation, inverse problems determining material structure from surface measurements, and imaging through cosmic background...
- This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports research focused on addressing fundamental questions in partial differential equations and optimization theory. The $291,367 award, spanning July 2024 to June 2027, will advance the Principal Investigator's work on characterizing extremal functions for Morrey's inequality, studying solutions to the pressureless Euler system, and...
- This $390,000 National Science Foundation project grant supports research into branching processes, random partial differential equations, and their applications from September 2022 through August 2025. Funded through the Mathematical and Physical Sciences program (CFDA 47.049), this award to Stanford University will advance tools and understanding of the connections between branching processes and nonlinear parabolic equations. Specifically, researchers will study branching Brownian motion in...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides funding for a research project titled "Harmonic Analysis and Affine Isoperimetric Inequalities in Convex Geometry." The $121,788 award, effective August 15, 2025 through May 31, 2028, will support research on two types of mathematical problems: tomographic problems, which focus on retrieving information about geometric objects from limited data, and...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $302,028 to the University of California, Berkeley (UC Berkeley) to conduct research on nonlinear partial differential equations (PDEs) and their applications in physics. The key objectives of the project are to deepen the understanding of nonlinear hyperbolic and dispersive PDEs, which are fundamental to describing natural phenomena across scales. The...
- This Project Grant award of $338,955 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports fundamental research in the field of harmonic analysis. The research aims to advance the understanding of singular integral operators in non-homogeneous environments, which has applications in probability theory, physics, engineering, and medicine. Specific areas of focus include studying singular integrals with matrix weights, singular integrals on graphs with...
- This $300,000 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on branching processes, partial differential equations, and their applications to knowledge diffusion and dynamics in heterogeneous and random environments. The research aims to advance theoretical and practical understanding of modeling systems influenced by randomness and heterogeneity, with applications spanning the physical...
- This National Science Foundation (NSF) Project Grant award provides $253,734 to The Johns Hopkins University to support research on the regularity of solutions to elliptic partial differential equations and generalized minimal submanifolds. The award focuses on two main mathematical objectives: studying unique continuation for solutions to elliptic PDEs and investigating the regularity theory for generalized minimal submanifolds. This research under the NSF's Mathematical and Physical Sciences...
- This three-year, $249,990 project grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), will support collaborative research on fundamental problems in time-frequency analysis at Tufts University. Specifically, the investigators will work to solve the long-standing Heil-Ramanathan-Topiwala conjecture and related open problems arising at the intersection of abstract, applied, computational harmonic...
This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program totaling $509,874 will support research and educational activities related to the frequency function method in elliptic partial differential equations and harmonic analysis at Stanford University from July 1, 2023 to June 30, 2026. The principal investigator will study local properties of solutions to elliptic partial differential equations and their gradients using the frequency function tool. This includes investigating how the frequency function controls various local characteristics. Additional goals are to introduce a framework to analyze random harmonic functions of bounded frequency and examine typical behavior, as well as restrict eigenfunctions and localization properties. The award also provides research training for graduate students and supports the principal investigator in disseminating results through lectures, courses, and an expository article. This work has applications in spectral geometry, geometric measure theory, control theory, and mathematical physics.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $509.9k | 3/30/23 |