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Operators of p-evolution with nonregular coefficients in the time variable
Authors:Rossella Agliardi  Massimo Cicognani
Affiliation:a Dipartimento di Matematica, Via Machiavelli, 35, Ferrara 44100, Italy
b Dipartimento di Matematica, Piazza di Porta S. Donato, 5, Bologna 40127, Italy
c Facoltà di Ingegneria II, Via Genova, 181, Cesena 47023, Italy
Abstract:We study the Cauchy problem for a class of p-evolution operators P(t,x,Dt,Dx) in View the MathML source, with less than View the MathML source coefficients with respect to the time variable.According to Lipschitz, log-lipschitz or Hölder regularity we find well-posedness in Sobolev spaces or in Gevrey classes.
Keywords:35G10   35J10   35B30
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