Biblioteca de la Universidad Complutense de Madrid

An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions

Impacto



Díaz Díaz, Jesús Ildefonso y Bejenaru, Ioan y Vrabie, Ioan I. (2001) An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions. Electronic Journal of Differential Equations (50). pp. 1-19. ISSN 1072-6691

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URL Oficial: http://www.emis.de/journals/EJDE/



Resumen

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.


Tipo de documento:Artículo
Palabras clave:Approximate controllability, Evolution equation, Parabolic problem, Elliptic problem, Dynamic boundary conditions, Nonlinear equation, Initial condition control, Schauder fixed point theorem
Materias:Ciencias > Matemáticas > Análisis numérico
Código ID:12124
Depositado:01 Feb 2011 09:13
Última Modificación:06 Feb 2014 09:18

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