3 papers
math.AP2026
Degenerate 3-evolution equations in Gevrey classes
Alexandre Arias Junior, Alessia Ascanelli
We consider the Cauchy problem for third-order evolution differential operators with variable coefficients, depending on time and space , where the lea…
math.AP2025
Smoothing effect for higher order dispersive equations and applications to nonlinear initial value problems
Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello
In this paper we deal with the initial value problem related to a family of dispersive inhomogeneous evolution equations Pu=f with variable coefficients belonging to the class of p…
math.AP2025
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…