Gevrey-hypoellipticity for a Class of Parabolic Type Operators

Authors

  • Chen Hua

Keywords:

Gevrey-hypoellipticity; wave front set in Gevrey-class; (α&#946) method

Abstract

This paper studies the micro-local version of the Gevrey-hypoellipticity for a class of parabolic type operator, ∂_t-a(t, x; D_s,) (a(t, x;D_s) (a(t, x; ξ) ∈ C^∞([0, T], S^m_{G^m}(R^n)) (m ≥ 1/s) is a Gevrey-pseudoanaiytic symbol of class s(s > 1)), and we obtain the following main result: Under the condition (I), the operator stated above is micro-local Gevrey-hypoelliptic. In order to prove our main result, the auther have used (α, β) method in this paper.

Published

1990-03-01

Issue

Section

Articles

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