2134/17277
Claudia Garetto
Michael Ruzhansky
A note on weakly hyperbolic equations with analytic principal part
2015
Loughborough University
Hyperbolic equations
Well-posedness
2015-04-15 10:26:34
article
https://repository.lboro.ac.uk/articles/A_note_on_weakly_hyperbolic_equations_with_analytic_principal_part/9387440
In this note we show how to include low order terms in the C∞ well-posedness results for weakly hyperbolic equations with analytic time-dependent coefficients. This is achieved by doing a different reduction to a system from the previously used one. We find the Levi conditions such that the C∞ well-posedness continues to hold.