Claudia Garetto (Queen Mary, University of London)

Non diagonalisable hyperbolic systems with multiplicity

Abstract:

In this talk, I will present some recent results on the well-posedness of the Cauchy problem for non-diagonalisable hyperbolic systems with multiplicities. In particular, I will provide a representation formula for the solution and formulate Levi conditions on the lower order terms. This is work in collaboration with Christian Jäh (Göttingen University), Michael Ruzhansky (QMUL/Ghent University) and Bolys Sabitbek (QMUL).