A note on weakly hyperbolic equations with analytic principal part

2015-04-15T10:26:34Z (GMT) by Claudia Garetto Michael Ruzhansky
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.