JournalsprimsVol. 38 , No. 2DOI 10.2977/prims/1145476339

Non-isotropic Gevrey Hypoellipticity for Grushin Operators

  • Yoshiaki Hashimoto

    Nagoya City University, Japan
  • Takaaki Hoshino

    Meijo University, Nagoya, Aichi, Japan
  • Tadato Matsuzawa

    Meijo University, Nagoya, Aichi, Japan
Non-isotropic Gevrey Hypoellipticity for Grushin Operators cover

Abstract

We shall determine non-isotropic Gevrey exponents for general Grushin operators based on the results given in the paper [26], where a method to determine isotropic (worst) Gevrey exponents was given. The ideas of the bracket calculus given in the paper [2] and FBI-transformation given in the paper [5] are also useful.