%0 Journal Article
%A Díaz Díaz, Jesús Ildefonso
%A Ramos Del Olmo, Ángel Manuel
%T Some results about the approximate controllability property for quasilinear diffusion equations
%D 1997
%@ 0764-4442
%U https://hdl.handle.net/20.500.14352/57404
%X We study the approximate controllability property for y(t) - Delta phi(y) = u chi(omega), on Omega x (0, T), where Omega is a bounded open set of R-N and omega subset of Omega. First, we show some negative results for the case phi(s) = \s\(m-1)s, 0 < m < 1, by means of an obstruction phenomenon. In a second part, we obtain a positive answer on the space H-1-gamma(Omega), for any gamma > 0, for a class of functions phi essentially linear at infinity, by using a higher order vanishing viscosity argument.
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