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

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01925980
Contributor : Nicolas Hegoburu <>
Submitted on : Sunday, November 18, 2018 - 5:44:15 PM
Last modification on : Friday, November 30, 2018 - 1:49:25 AM
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Nicolas Hegoburu. Time optimal internal controls for the Lotka-McKendrick equation with spatial diffusion. 2018. 〈hal-01925980〉

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