RT Journal Article
T1 An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions
A1 Díaz Díaz, Jesús Ildefonso
A1 Bejenaru, Ioan
A1 Vrabie, Ioan I.
AB The authors obtain an approximate controllability result for the nonlinear equation $y'+Ay+F(t,y)y=h(t)$ with the initial condition $y(0)=x$, where $x$ is the control and $A$ generates a $C_0$-semigroup in a Hilbert space. The Schauder fixed point theorem is the main tool. Then they apply their result to get approximate controllability for some classes of elliptic and parabolic problems with dynamic boundary conditions. There are 72 references, many of them referring to mathematical models in various areas where the results could be applied.
PB Texas State University, Department of Mathematics
SN 1072-6691
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/56995
UL https://hdl.handle.net/20.500.14352/56995
LA eng
NO DGICYT
NO CNCSU/CNFIS
DS Docta Complutense
RD 8 abr 2025