@Article{JPDE-3-63,
author = {Chen Hua},
title = {Gevrey-hypoellipticity for a Class of Parabolic Type Operators},
journal = {Journal of Partial Differential Equations},
year = {1990},
volume = {3},
number = {2},
pages = {63--76},
abstract = { This paper studies the micro-local version of the Gevrey-hypoellipticity for a class of parabolic type operator, &#8706_t-a(t, x; D_s,) (a(t, x;D_s) (a(t, x; &#958) &#8712 C^&#8734([0, T], S^m_{G^m}(R^n)) (m &#8805 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 (&#945, &#946) method in this paper.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5799.html}
}