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Some results about the approximate controllability property for quasilinear diffusion equations


Díaz Díaz, Jesús Ildefonso y Ramos del Olmo, Ángel Manuel (1997) Some results about the approximate controllability property for quasilinear diffusion equations. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 324 (11). pp. 1243-1248. ISSN 0764-4442

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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.

Tipo de documento:Artículo
Palabras clave:quasilinear diffusion equation; approximate controllability
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:15821

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Última Modificación:06 Feb 2014 10:32

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