3 papers
math.AP2025
The Cauchy problem for -evolution equations with initial data in Gelfand-Shilov spaces
Marco Cappiello, Eliakim Cleyton Machado
We study the Cauchy problem for a class of linear evolution equations of arbitrary order with coefficients depending both on time and space variables. Under suitable decay assumpti…
math.AP2024
The Cauchy problem for -evolution equations with variable coefficients in Gevrey classes
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello +1
We study the Cauchy problem for a class of linear evolution equations of arbitrary order with coefficients depending both on time and space variables. Under suitable decay assumpti…
math.AP2021
Global ultradifferentiable hypoellipticity on compact manifolds
Fernando de Ávila Silva, Eliakim Cleyton Machado
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…