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Operators of p-evolution with nonregular coefficients in the time variable |
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| Authors: | Rossella Agliardi Massimo Cicognani |
| Institution: | 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  , with less than  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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