RT Journal Article
T1 Some results about the approximate controllability property for quasilinear diffusion equations
A1 Díaz Díaz, Jesús Ildefonso
A1 Ramos del Olmo, Ángel Manuel
AB 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.
PB Elsevier
SN 0764-4442
YR 1997
FD 1997-06
LK https://hdl.handle.net/20.500.14352/57404
UL https://hdl.handle.net/20.500.14352/57404
LA fra
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RD 15 may 2024