Project Grant 2153585
- 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...
- 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 Project Grant award for $314,416.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program will support research at Louisiana State University in three interconnected areas: elliptic optimal control problems, elliptic problems with rough coefficients, and fully nonlinear elliptic partial differential equations. The 3-year project, running from July 1, 2025 to June 30, 2028, will build bridges between the communities of numerical partial differential...
- 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...
- The National Science Foundation awarded The Johns Hopkins University a $320,648 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into various aspects of the theory of partial differential equations as they relate to the dichotomy between regularity and singularity formation. The Principal Investigator will pursue research in regularity theory and geometric properties for partial differential equations arising in the theory of...
- This $335,000 project grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in harmonic analysis and approximation theory conducted by the University of Wisconsin - Madison. The key objectives are to: (1) Investigate the regularity properties and boundedness of certain averaging operators over sub-manifolds and maximal operators on nilpotent groups within harmonic analysis. (2) Study local smoothing...
- 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 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $303,694 to support research focused on a range of questions central to classical analysis, spectral theory, and partial differential equations. The goal is to develop new analytical tools with applications across disciplines such as probability and random matrix theory. The principal investigator will train undergraduate, graduate students, and postdocs in the...
- This Project Grant award for $249,454, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research conducted by the University of Alabama in two areas within mathematical analysis: harmonic analysis and partial differential equations. The key objectives are to expand knowledge in harmonic analysis and its applications to the study of partial differential equations, as well as to provide education and mentoring...
- The National Science Foundation (NSF) awarded a $247,227 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Missouri System, doing business as the Curators of the University of Missouri, to conduct research related to boundary value problems and free boundary problems for elliptic and parabolic partial differential equations. The three-year project, starting on July 1, 2024 and ending on June 30, 2027, aims to: 1) characterize the space-time...
This Project Grant from the National Science Foundation's Mathematical and Physical Sciences program provides $213,094 to The University of Kentucky Research Foundation for research on harmonic analysis and homogenization of elliptic equations in perforated domains from July 1, 2022 to June 30, 2025. The award supports research focusing on establishing optimal quantitative results in homogenization theory for partial differential equations arising in applications involving fluid flows, acoustic propagation, and diffusion processes in highly heterogeneous media such as composite materials and porous media. Specific problems to be investigated include uniform regularity estimates for Darcy's law, large-scale regularity estimates for Brinkman's law, elliptic equations and systems with periodic and high-contrast coefficients, and boundary value problems in perforated domains. Insights gained will provide a deeper understanding of fundamental issues in periodic homogenization at the interface of harmonic analysis and partial differential equations. The funding also supports training of PhD students.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $213.1k | 4/1/22 |