Critical Gevrey index for hypoellipticity of parabolic operators and Newton polygones
- Cite this article as:
- Gramchev, T., Popivanov, P. & Yoshino, M. Annali di Matematica pura ed applicata (1996) 170: 103. doi:10.1007/BF01758985
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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.