Convolution equations in the space of Laplace distributions
Tom 69 / 1998
Annales Polonici Mathematici 69 (1998), 271-281 DOI: 10.4064/ap-69-3-271-281
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.