Global ultradifferentiable hypoellipticity on compact manifolds.

Autor: de Ávila Silva, Fernando, Machado, Eliakim Cleyton
Zdroj: Archiv der Mathematik; Jun2022, Vol. 118 Issue 6, p615-624, 10p
Abstrakt: We study the global hypoellipticity problem for certain linear operators in Komatsu classes of Roumieu and Beurling type on compact manifolds. We present an approach by combining a characterization of these spaces via eigenfuction expansions, generated by an elliptic operator, and the analysis of matrix-symbols obtained by these expansions. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index