HEGOBURU, Nicolas

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HEGOBURU, Nicolas
Institut de Mathématiques de Bordeaux [IMB]

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Mathematical Control and Related Fields. 2019-12, vol. 9, n° 4, p. 697-718

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This work is devoted to establish a bang-bang principle of time optimal controls for a controlled age-structured population evolving in a bounded domain of R^n. Here, the bang-bang principle is deduced by an L^∞ null-controllability result for the Lotka-McKendrick equation with spatial diffusion. This L^∞ null-controllability result is obtained by combining a methodology employed by Hegoburu and Tucsnak-originally devoted to study the null-controllability of the Lotka-McKendrick equation with spatial diffusion in the more classical L^2 setting-with a strategy developed by Wang, originally intended to study the time optimal internal controls for the heat equation.< Réduire

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Time optimal internal controls for the Lotka-McKendrick equation with spatial diffusion

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