Sulla dipendenza continua della soluzione del problema di Darboux dai coefficienti dell'equazione

  • Giuseppe Tomaselli

Abstract

We prove the continuous dependence of z, the solution of the Darboux problem for the equation

zxy+A(x,y)zx+B(x,y)zy+C(x,y)z=f(x,y),

on the coefficients A,B,C.

Here, z belongs to a Sobolev space and A,B,C verify some rather general assumptions (which do not imply boundness).

Published
1989-03-01
Section
Articoli