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math.AP2016
On hyperbolicity and Gevrey well-posedness. Part two: Scalar or degenerate transitions
Baptiste Morisse
For first-order quasi-linear systems of partial differential equations, we formulate an assumption of a transition from initial hyperbolicity to ellipticity. This assumption bears…
math.AP2016
On hyperbolicity and Gevrey well-posedness. Part one: the elliptic case
Baptiste Morisse
In this paper we prove that the Cauchy problem for first-order quasi-linear systems of partial differential equations is ill-posed in Gevrey spaces, under the assumption of an init…