THE CAUCHY PROBLEM FOR p-EVOLUTION EQUATIONS

نویسندگان

  • MASSIMO CICOGNANI
  • FERRUCCIO COLOMBINI
چکیده

In this paper we deal with the Cauchy problem for evolution equations with real characteristics. We show that the problem is well-posed in Sobolev spaces assuming a suitable decay of the coefficients as the space variable x → ∞. In some cases, such a decay may also compensate a lack of regularity with respect to the time variable t.

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تاریخ انتشار 2010