Events
Department of Mathematics and Statistics
Texas Tech University
Multiple coefficient inverse problems have become influential in mathematical oncology, playing an important role in delineating source regions. In this talk, we present a convexification method to reconstruct both the birth source and the mortality rate in an age-dependent diffusive problem. Using the so-called Fourier-Klibanov basis, this method strongly relies on a new derivation of a coupled nonlinear PDE system with age structure. We then introduce a Tikhonov-like cost functional, weighted by a suitable Carleman function. We will discuss an analysis of the minimization problem, where a new Carleman estimate and a Holder rate of convergence are derived, and present some numerical results.
 | Wednesday Feb. 26 4:00 Math011
| | Applied Mathematics and Machine Learning TBA Richard Lehoucq Center for Computing Research, Sandia National Laboratories
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Abstract.
When: 4:00 pm (Lubbock's local time is GMT -6)
Where: room Math 011 (Math Basement)
ZOOM details:
- Choice #1: use this link
Direct Link that embeds meeting and ID and passcode.
- Choice #2: join meeting using this link
Join Meeting, then you will have to input the ID and Passcode by hand:
* Meeting ID: 979 1333 6658
* Passcode: Applied (Note the capital letter "A")
abstract 2 PM CST (UT-6)
Zoom link available from Dr. Brent Lindquist upon request.