A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.
@article{bwmeta1.element.bwnjournal-article-apmv69z3p271bwm,
author = {Maria E. Pli\'s},
title = {Convolution equations in the space of Laplace distributions},
journal = {Annales Polonici Mathematici},
volume = {69},
year = {1998},
pages = {271-281},
zbl = {0923.35047},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv69z3p271bwm}
}
Maria E. Pliś. Convolution equations in the space of Laplace distributions. Annales Polonici Mathematici, Tome 69 (1998) pp. 271-281. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv69z3p271bwm/
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