Local controllability of a nonlinear wave equation
We obtain results on local controllability (near an equilibrium point) for a nonlinear wave equation, by application of an infinite-dimensional analogue of the Lee-Markus method of linearization. Controllability of the linearized equation is studied by application of results of Russell, and local co...
| Publicado: |
1975
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255661_v9_n1_p30_Fattorini http://hdl.handle.net/20.500.12110/paper_00255661_v9_n1_p30_Fattorini |
| Aporte de: |
| Sumario: | We obtain results on local controllability (near an equilibrium point) for a nonlinear wave equation, by application of an infinite-dimensional analogue of the Lee-Markus method of linearization. Controllability of the linearized equation is studied by application of results of Russell, and local controllability of the nonlinear equation follows from the inverse function theorem. We prove that every state that is sufficiently small in a sense made precise in the paper can be reached from the origin in a time T depending on the coefficients of the equation. © 1975 Springer-Verlag New York Inc. |
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