To obtain existence and uniqueness when solving some nonlinear characteristic Cauchy problems, we define a special algebra GOM(Ω) of generalized functions on the closure Ω of an open set O in R^n constructed from the topological algebra of slowly increasing functions in Ω. Moreover other concepts are needed as slow scale elements and point values characterization of elements in GOM(Ω).
@article{4634,
title = {Generalized functions on the closure of an open set. Application to uniqueness of some characteristic Cauchy problem},
journal = {Novi Sad Journal of Mathematics},
volume = {46},
year = {2017},
language = {EN},
url = {http://dml.mathdoc.fr/item/4634}
}
DEVOUE, Victor. Generalized functions on the closure of an open set. Application to uniqueness of some characteristic Cauchy problem. Novi Sad Journal of Mathematics, Tome 46 (2017) . http://gdmltest.u-ga.fr/item/4634/