RT Journal Article
T1 Finite extinction and null controllability via delayed feedback non-local actions
A1 Díaz Díaz, Jesús Ildefonso
A1 Casal, A.C.
A1 Vegas Montaner, José Manuel
AB We give sufficient conditions to have the finite extinction for all solutions of linear parabolic reaction-diffusion equations of the type partial derivative u/partial derivative t - Lambda u = -M(t)u(t - tau, x) (1) with a delay term tau > 0, on Omega, an open set of R(N), M(t) is a bounded linear map on L(p)(Omega), u(t, x) satisfies a homogeneous Neumann or Dirichlet boundary condition. We apply this result to obtain distributed null controllability of the linear heat equation u(t) - Delta u = upsilon(t, x) by means of the delayed feedback term upsilon(t, x) = -M(t)u(t - tau, x).
PB Pergamon-Elsevier Science
SN 0362-546X
YR 2009
FD 2009-12-15
LK https://hdl.handle.net/20.500.14352/42156
UL https://hdl.handle.net/20.500.14352/42156
LA eng
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NO DGISGPI (Spain)
DS Docta Complutense
RD 4 may 2024