A multidimensional optimal-harvesting problem with measure-valued solutions

Alberto Bressan; Giuseppe Maria Coclite; Wen Shen

doi:10.1137/110853510

A multidimensional optimal-harvesting problem with measure-valued solutions

Alberto Bressan
, Giuseppe Maria Coclite
, Wen Shen

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

The paper is concerned with the optimal harvesting of a marine resource, described by an elliptic equation with Neumann boundary conditions and a nonlinear source term. Since the cost function has linear growth, an optimal solution is found within the class of measure-valued control strategies. The analysis also provides results on the existence and uniqueness of strictly positive solutions to an elliptic equation with a measure-valued source and Neumann boundary data.

Original language	English (US)
Pages (from-to)	1186-1202
Number of pages	17
Journal	SIAM Journal on Control and Optimization
Volume	51
Issue number	2
DOIs	https://doi.org/10.1137/110853510
State	Published - 2013

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 14 Life Below Water

All Science Journal Classification (ASJC) codes

Control and Optimization
Applied Mathematics

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10.1137/110853510

Cite this

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abstract = "The paper is concerned with the optimal harvesting of a marine resource, described by an elliptic equation with Neumann boundary conditions and a nonlinear source term. Since the cost function has linear growth, an optimal solution is found within the class of measure-valued control strategies. The analysis also provides results on the existence and uniqueness of strictly positive solutions to an elliptic equation with a measure-valued source and Neumann boundary data.",

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AU - Coclite, Giuseppe Maria

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AB - The paper is concerned with the optimal harvesting of a marine resource, described by an elliptic equation with Neumann boundary conditions and a nonlinear source term. Since the cost function has linear growth, an optimal solution is found within the class of measure-valued control strategies. The analysis also provides results on the existence and uniqueness of strictly positive solutions to an elliptic equation with a measure-valued source and Neumann boundary data.

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A multidimensional optimal-harvesting problem with measure-valued solutions

Abstract

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