10 citations · 14 across the 4 of their papers we have counts for
4 papers
Ultraregular generalized functions
Khaled Benmeriem, Chikh Bouzar
Algebras of ultradifferentiable generalized functions are introduced. We give a microlocal analysis within these algebras related to the regularity type and the ultradifferentiable…
Generalized Gevrey ultradistributions
Chikh Bouzar, Khaled Benmeriem
We first introduce new algebras of generalized functions containing Gevrey ultradistributions and then develop a Gevrey microlocal analysis suitable for these algebras. Finally, we…
Colombeau generalized Gevrey ultradistributions and their microlocal analysis
K. Benmeriem, C. Bouzar
The purpose of this paper is to construct and to study algebras of generalized Gevrey ultardistributions. We define the generalized Gevrey wave front and give its main properties.…
Colombeau generalized functions and solvability of differential operators
K. Benmeriem, C. Bouzar
The aim of this paper is to prove that the well known non solvable Mizohata type partial differential equations have Colombeau generalized solutions which are distributions if and…