Critical Gevrey index for hypoellipticity of parabolic operators and Newton polygones |
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| Authors: | Todor Gramchev Petar Popivanov Massafumi Yoshino |
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| Affiliation: | (1) Present address: Dipartimento di Matematica, Università di Cagliari, Via Ospedale 72, 09124 Cagliari, Italia;(2) Present address: Institute of Mathematics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria;(3) Present address: Faculty of Economics, Chuo University, 724-1 Higashinakano, Hachjoji-shi, Tokyo, Japan |
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| Abstract: | Summary In this paper we give geometrical expressions of the (non) hypoellipticity in Gevrey spaces of parabolic operators via Newton polygones. We also determine the critical Gevrey class for which the hypoellipticity holds.Partially supported by GNAFA, CNR, Italy.Partially supported by JSPS, Japan and a grant MM-410/94 with MES, Bulgaria.Partially supported by Chuo University special research fund. |
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