Restricted Research - Award List, Note/Discussion Page
Fiscal Year: 2023
1293 University of Houston (143181)
Principal Investigator: Jaramillo,Gabriela T
Total Amount of Contract, Award, or Gift (Annual before 2011): $ 236,370
Exceeds $250,000 (Is it flagged?): No
Start and End Dates: 6/1/23 - 5/31/26
Restricted Research: YES
Academic Discipline: Mathematics and Statistics
Department, Center, School, or Institute: Mathematics
Title of Contract, Award, or Gift: UNDERSTANDING HOW NONLOCAL DIFFUSION SHAPES PATTERNS IN BIOLOGICAL SYSTEMS
Name of Granting or Contracting Agency/Entity:
National Science Foundation
CFDA Link: NSF
47.049
Program Title:
n/a
CFDA Linked: Mathematical and Physical Sciences
Note:
This proposal’s aim is to fill this void by developing a mathematical theory for convolution operators. Specifically, we develop methods for proving Fredholm properties for these maps by choosing as their domain a specific class of functions with algebraic decay. This then allows us to use the implicit function theorem to prove existence of patterns. Since the class of functions being considered also provides information about the level of decay of solutions at infinity, this information can then be used to construct numerical schemes with appropriate boundary constraints. SAMs 1.1.1
Discussion: No discussion notes