We consider p-evolution equations 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 goes to infinity.
Well-posedness of the Cauchy problem for p-evolution equations
ASCANELLI, Alessia;BOITI, Chiara;ZANGHIRATI, Luisa
2012
Abstract
We consider p-evolution equations 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 goes to infinity.File in questo prodotto:
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