Workshop on Methods in Nonlinear Analysis
Kennesaw State University Department of Mathematics will be hosting a mini-course research workshop on Methods in Nonlinear Analysis on November 14-15, 2020. Registration is free, but required. Before the workshop begins, all registered participants will receive an email to the Zoom meeting where all workshop activities will take place.
The workshop will be focused on methods (including topological and variational) for analyzing a diverse class of nonlinear partial differential equations, as well as methods of solutions of differential equations on quantum graphs.
The workshop will be composed of series of lectures delivered by the following three leading experts in a wide variety of methods in nonlinear analysis.
Speakers
- Recordings of all lectures
- Professor Alfonso Castro, Harvey Mudd College
Title: Radial Solutions to Elliptic Equations
Castro Lecture - Professor Evans Harrell, Georgia Institute of Technology
Title: Quantum graphs and their extremely interesting eigenvalues
Harrell Lecture 1
Harrell Lecture 2
Harrell Lecture 3 - Professor Ratnasingham Shivaji, University of North Carolina at Greensboro
Title: Uniqueness results for Classes of Nonlinear Elliptic Boundary Value Problems
Shivaji Lecture 1
Shivaji Lecture 2
Shivaji Lecture 3
Alfonso Castro is a leading expert on semilinear equations and their multiple solutions by using topological and variational methods. He is also an expert in inverse problems and water waves (solitons).
Evans Harrell is a leading expert on the mathematics of quantum mechanics and on problems connecting geometry to eigenvalues of differential equations. His recent contributions are in spectral theory on combinatorial and quantum graphs.
Ratnasingham Shivaji is a leading expert in nonlinear elliptic boundary value problems with nonlinearities of positone and semipositone types. His recent contributions are in the existence and uniqueness of solutions for a class of infinite semipositone 𝑝-Laplacian problems in a ball.
Schedule (downloadable pdf)
All times are Eastern Standard.
Saturday, November 14
| Welcome | 8:50 am |
| Lecture 1: Evans Harrell | 9:00 – 10:15 am |
| Lecture 2: Evans Harrell | 10:30 – 11:45 am |
| Break | |
| Lecture 3: Ratnasingham Shivaji | 12:45 – 2:00 pm |
| Lecture 4: Ratnasingham Shivaji | 2:15 – 3:30 pm |
| Lecture 5: Alfonso Castro | 3:45 – 5:00 pm |
Sunday, November 15
| Lecture 6: Evans Harrell | 9:00 – 10:15 am |
| Lecture 7: Ratnasingham Shivaji | 10:30 – 11:45 am |
| Break | |
| Lecture 8: Alfonso Castro | 12:45 – 2:00 pm |
| Lecture 9: Alfonso Castro | 2:15 – 3:30 pm |
| Closing |
