Analyticity of free boundary in an optimal harvesting problem

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Emamizadeh, Behrouz and Liu, Yichen (2020) Analyticity of free boundary in an optimal harvesting problem. Letters in Mathematical Physics . ISSN 0377-9017

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Abstract

This note revisits an optimisation problem pertaining to the optimal harvesting of a marine species. The existence of solutions and the corresponding optimal conditions they satisfy have already been proved. It is known that the optimal solutions can be identified with n-dimensional shapes. We will obtain an interesting result concerning the free boundary of the optimal shapes. Indeed, we will prove that if a parameter in the admissible set is kept sufficiently small then the free boundaries will be real analytic hypersurfaces.

Item Type: Article
Additional Information: The paper is under GUPL
Keywords: Free boundary; Harvesting; Semilinear equations; Regularity
Schools/Departments: University of Nottingham Ningbo China > Faculty of Science and Engineering > School of Mathematical Sciences
Identification Number: https://doi.org/10.1007/s11005-020-01259-z
Depositing User: QIU, Lulu
Date Deposited: 28 Feb 2020 02:42
Last Modified: 28 Feb 2020 02:42
URI: https://eprints.nottingham.ac.uk/id/eprint/59997

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