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arxiv: 1308.3992 · v2 · pith:CGCXWC65new · submitted 2013-08-19 · 🧮 math.OC

Equivalence of minimal time and minimal norm control problems for semilinear heat equations

classification 🧮 math.OC
keywords minimalnormcontrolcontrolsequationsequivalenceheatproblems
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In this paper, we establish the equivalence of minimal time and minimal norm control problems for semilinear heat equations in which the controls are distributed internally in an open subset of the state domain. As an application, the Bang-Bang property for minimal norm controls are also presented.

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