Analyticity of free boundary in an optimal harvesting problem
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2020
|
| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/59997/ |
| _version_ | 1848799708564160512 |
|---|---|
| author | Emamizadeh, Behrouz Liu, Yichen |
| author_facet | Emamizadeh, Behrouz Liu, Yichen |
| author_sort | Emamizadeh, Behrouz |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:39:58Z |
| format | Article |
| id | nottingham-59997 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:39:58Z |
| publishDate | 2020 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-599972020-02-28T02:42:23Z https://eprints.nottingham.ac.uk/59997/ Analyticity of free boundary in an optimal harvesting problem Emamizadeh, Behrouz Liu, Yichen 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. 2020-01-23 Article PeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/59997/1/combinepdf.pdf Emamizadeh, Behrouz and Liu, Yichen (2020) Analyticity of free boundary in an optimal harvesting problem. Letters in Mathematical Physics . ISSN 0377-9017 Free boundary; Harvesting; Semilinear equations; Regularity http://dx.doi.org/10.1007/s11005-020-01259-z doi:10.1007/s11005-020-01259-z doi:10.1007/s11005-020-01259-z |
| spellingShingle | Free boundary; Harvesting; Semilinear equations; Regularity Emamizadeh, Behrouz Liu, Yichen Analyticity of free boundary in an optimal harvesting problem |
| title | Analyticity of free boundary in an optimal harvesting problem |
| title_full | Analyticity of free boundary in an optimal harvesting problem |
| title_fullStr | Analyticity of free boundary in an optimal harvesting problem |
| title_full_unstemmed | Analyticity of free boundary in an optimal harvesting problem |
| title_short | Analyticity of free boundary in an optimal harvesting problem |
| title_sort | analyticity of free boundary in an optimal harvesting problem |
| topic | Free boundary; Harvesting; Semilinear equations; Regularity |
| url | https://eprints.nottingham.ac.uk/59997/ https://eprints.nottingham.ac.uk/59997/ https://eprints.nottingham.ac.uk/59997/ |