On weakly hyperbolic equations with analytic principal part

Abstract

In this paper we show how to include low order terms in the $C^{\infty }$ 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 $C^{\infty }$ well-posedness continues to hold.

17 pages

References in corpus (1)

• Weakly hyperbolic equations with non-analytic coefficients and lower order terms

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