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- W2128039433 abstract "It is known that the linear Korteweg–de Vries (KdV) equation with homogeneous Dirichlet boundary conditions and Neumann boundary control is not controllable for some critical spatial domains. In this paper, we prove in these critical cases, that the nonlinear KdV equation is locally controllable around the origin provided that the time of control is large enough. It is done by performing a power series expansion of the solution and studying the cascade system resulting of this expansion." @default.
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- W2128039433 date "2009-03-01" @default.
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- W2128039433 title "Boundary controllability for the nonlinear Korteweg–de Vries equation on any critical domain" @default.
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- W2128039433 doi "https://doi.org/10.1016/j.anihpc.2007.11.003" @default.
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