Artículos de revistas
Remarks on semilinear parabolic systems with terms concentrating in the boundary
Fecha
2013-08Registro en:
Nonlinear Analysis: Real World Applications, London, v. 14, n. 4, p. 1921-1930, 2013
1468-1218
10.1016/j.nonrwa.2013.01.003
Autor
Pereira, Marcone Corrêa
Institución
Resumen
We are concerned with the asymptotic behavior of a dynamical system generated by a family of semilinear parabolic systems with reaction and potential terms concentrating in a neighborhood of a portion of the boundary. Assuming that this neighborhood shrinks to this section as a parameter goes to zero, we exhibit the limit problem and show continuity of the flux as well as upper and lower semicontinuity of the family of global attractors with respect to using an appropriated functional setting on suitable conditions for the system. It is worth noting that oscillatory behavior to the neighborhood as goes to zero is also allowed providing a large range of applications.