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Humboldt University of Berlin (Germany)
Hyperbolic operators with finite time propagation of singularities
Thursday, 25 January 2024 at 12:00
On line: https://meet.google.com/nif-zfwd-mrg
Abstract
We will discuss a class of (nonlinear) initial-boundary value problems for first order 1D (integro)-differential strictly hyperbolic systems which are distinguished by finite time propagation of singularities. We characterize the last property in terms of boundary and/or equation coefficients. This class of problems exhibits a number of interesting mathematical phenomena such as the smoothing effect for solutions, the superstability property, robustness of exponential dichotomy, the Fredholm property and the absence of small divisors in periodic problems. Our analysis has applications to solving inverse problems and finding global classical solutions to quasilinear problems.
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