Pseudo-differential operators in algebras of generalized functions and global hypoellipticity
Analysis of PDEs
2007-05-23 v1
Abstract
The aim of this work is to develop a global calculus for pseudo-differential operators acting on suitable algebras of generalized functions. In particular, a condition of global hypoellipticity of the symbols gives a result of regularity for the corresponding pseudo-differential equations. This calculus and this frame are proposed as tools for the study in Colombeau algebras of partial differential equations globally defined on .
Cite
@article{arxiv.math/0502283,
title = {Pseudo-differential operators in algebras of generalized functions and global hypoellipticity},
author = {Claudia Garetto},
journal= {arXiv preprint arXiv:math/0502283},
year = {2007}
}