We consider p-evolution equations of order m greater than or equal to 2 in (t , x) with real characteristics. We give sufficient conditions for the well-posedness of the Cauchy problem in Sobolev spaces, in terms of decay estimates of the coefficients as the space variable x → ∞.
Cauchy problem for higher order p-evolution equations
ASCANELLI, Alessia;BOITI, Chiara
2013
Abstract
We consider p-evolution equations of order m greater than or equal to 2 in (t , x) with real characteristics. We give sufficient conditions for the well-posedness of the Cauchy problem in Sobolev spaces, in terms of decay estimates of the coefficients as the space variable x → ∞.File in questo prodotto:
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