Cauchy problem for higher order p-evolution equations |
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Authors: | Alessia Ascanelli Chiara Boiti |
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Institution: | Dipartimento di Matematica ed Informatica, Università di Ferrara, Via Machiavelli n. 35, 44121 Ferrara, Italy |
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Abstract: | We consider p -evolution equations of order m?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→∞. |
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Keywords: | 35G10 35S10 |
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