Sufficient conditions of local solvability for partial differential operators in the Colombeau context
Analysis of PDEs
2009-02-04 v1
Abstract
We provide sufficient conditions of local solvability for partial differential operators with variable Colombeau coefficients. We mainly concentrate on operators which admit a right generalized pseudodifferential parametrix and on operators which are a bounded perturbation of a differential operator with constant Colombeau coefficients. The local solutions are intended in the Colombeau algebra as well as in the dual .
Keywords
Cite
@article{arxiv.0902.0508,
title = {Sufficient conditions of local solvability for partial differential operators in the Colombeau context},
author = {Claudia Garetto},
journal= {arXiv preprint arXiv:0902.0508},
year = {2009}
}