A MULTIDIMENSIONAL OPTIMAL-HARVESTING PROBLEM WITH MEASURE-VALUED SOLUTIONS

作者:Bressan Alberto*; Coclite Giuseppe Maria; Shen Wen
来源:SIAM Journal on Control and Optimization, 2013, 51(2): 1186-1202.
DOI:10.1137/110853510

摘要

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.

  • 出版日期2013