Simultaneous recovery inverse problems for nonlinear and nonlocal equations

Abstract: We study inverse problems associated with semilinear parabolic and hyperbolic systems in several scenarios where both the nonlinearities and the initial data can be unknown. We also show that some simultaneous recovery results hold for both nonlocal and nonlinear elliptic equations. It turns out that the nonlinearity and nonlocality play critical roles in deriving these simultaneous recovery results.

Mathematics

Audience: researchers in the topic

International Zoom Inverse Problems Seminar, UC Irvine