The main goal of the present paper is to study the local solvability of semilnear partial differential operators of the form F(u) = P(D)u + ∫(x, Q 1(D)u, ....... Q M(D)u). where P(D), Q 1(D), .... Q M(D) are linear partial differntial operators of constant coefficients and ∫(x, v) is a C ∞ function with respect to x and an entire function with respect to v. Under suitable assumptions on the nonlinear function ∫ and on P, Q 1, .... Q M, we will solve locally near every point x 0 ∈ ℝ n the next equation F(u) = g, g ∈ B p,k. where B p,k is a wieghted Sobolev space as in Hörmander .
|Titolo:||Local solvability for semilinear partial differential equations of constant strength|
|Autori interni:||MESSINA, FRANCESCA (Primo)|
|Data di pubblicazione:||2003|
|Appare nelle tipologie:||01 - Articolo su periodico|