A Multidimensional Optimal-Harvesting Problem with Measure-Valued Solutions
A Multidimensional Optimal-Harvesting Problem with Measure-Valued Solutions
复制标题
具有测值解的多维最优收获问题
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Wen Shen
中科院分区：
文献类型：
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作者：
A. Bressan;G. Coclite;Wen Shen
本文涉及海洋资源的最佳收获，由具有诺伊曼边界条件和非线性源项的椭圆方程描述。由于成本函数具有线性增长，因此可以在测值控制策略类中找到最佳解决方案。该分析还提供了具有测量值源和诺依曼边界数据的椭圆方程严格正解的存在性和唯一性的结果。
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.