Palestras e Seminários
14/12/2020
10:00
Palestrante: Fernando de Ávila
Responsável: Paulo Dattori (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Web Seminar on Linear PDE's and Related Topics
Abstract: In this talk we present recent investigations on the global hypoellipticity problem for a class of overdetermined systems of pseudo-differential operators defined on T n+N . We exhibit connections between the global hypoellipticity of the system and the global hypoellipticity of its normal form. We show that an obstruction of number-theoretical nature appears as a necessary condition to the global hypoellipticity. Conversely, the sufficiency is approached by analyzing three types of hypotheses: a Hörmander condition, logarithmic growth and super-logarithmic growth.
