Time optimal control of semilinear parabolic equations via bilinear controls

Abstract

We establish the existence of the time optimal control for semilinear parabolic equations with gradient quadratic growth via bilinear controls. It is worth pointing out that there is no restriction on the growth of the nonlinearity f (s) with respect to the variable s in the equation, which is a remarkable difference compared to the semilinear parabolic… (More)
DOI: 10.1016/j.sysconle.2012.04.001

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