The Cauchy problem for $p$-evolution equations
نویسندگان
چکیده
منابع مشابه
THE CAUCHY PROBLEM FOR p-EVOLUTION EQUATIONS
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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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2010
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-10-05171-8