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In Sarmiento's view, Chile had "Security of property, the continuation of order, and with both of these, the love of work and the spirit of enterprise that causes the development of wealth and prosperity".
Finally, we make use of the Pontragin maximum principle and the unique continuation property to obtain the bang-bang property for optimal controls to this problem.
It contradicts the unique continuation property of the eigenfunction.
The conjugate problem (2.1 - 2.6 2.1 - 2.6s the possessesof unique contheuation.
Thus, the unique continuation property holds for L in (U_0).
This is the quantitative version of the unique continuation property for equation (1.1).
Then the uniqueness of the solution on [ 0, T ] is direct using the continuation property.
Unique continuation property and control for the Benjamin-Bona-Mahony equation on a periodic domain are discussed in [5].
But in our case, since M ( ∥ ∇ ⋅ ∥ 2 2 ) △ ⋅ is nonlinear, we cannot use the unique continuation property directly.
Rosier and Zhang [27] proved the unique continuation property of solutions to the Benjamin-Bona-Mahony equation with small initial data in (H^{1}(mathbb{S})).
However, one can use the analytic continuation property (81) and write the difference (u^{mathfrak{d}_{p+1}}-u^{mathfrak {d}_{p}}) as follows.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com