JournalsprimsVol. 38, No. 2pp. 289–319

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
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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.

Cite this article

Yoshiaki Hashimoto, Takaaki Hoshino, Tadato Matsuzawa, Non-isotropic Gevrey Hypoellipticity for Grushin Operators. Publ. Res. Inst. Math. Sci. 38 (2002), no. 2, pp. 289–319

DOI 10.2977/PRIMS/1145476339