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math.AP2015★ 2 cited
The Overdetermined Cauchy Problem for -ultradifferentiable Functions
Chiara Boiti, Elisabetta Gallucci
In this paper we study the Cauchy problem for overdetermined systems of linear partial differential operators with constant coefficients in some spaces of -ultradifferentiable f…
math.AP2015★ 10 cited
Semilinear p-evolution equations in Sobolev spaces
Alessia Ascanelli, Chiara Boiti
We prove local in time well-posedness in Sobolev spaces of the Cauchy problem for semi-linear p-evolution equations of the first order with real principal part, but complex valued…