One-sided and internal controllability of semilinear wave equations with infinitely iterated logarithms | Zendy

Piermarco Cannarsa | Zendy; Vilmos Komornik | Zendy; Paola Loreti | Zendy

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One-sided and internal controllability of semilinear wave equations with infinitely iterated logarithms

Author(s) -

Piermarco Cannarsa,

Vilmos Komornik,

Paola Loreti

Publication year - 2002

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2002.8.747

Subject(s) - controllability , mathematics , logarithm , wave equation , boundary (topology) , iterated function , nonlinear system , mathematical analysis , zhàng , pure mathematics , physics , law , political science , china , quantum mechanics

In two previous works we improved some earlier results of Imanuvilov, Li and Zhang, and of Zuazua on the boundary exact controllability of one-dimensional semilinear wave equations by weakening the growth assumptions on the nonlinearity. Our growth assumption is in a sense optimal. Here we adapt our method for the case of one-sided control actions. This also enables us to obtain rather general internal controllability results.

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