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 paper also provides results on the existence and uniqueness of strictly positive solutions to the elliptic equation, and an averaging inequality valid for subharmonic functions with Neumann boundary data
A Multi-dimensional Optimal Harvesting Problem with Measure Valued Solutions / Bressan, A; Coclite, Giuseppe Maria; Shen, W.. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - 51:2(2013), pp. 1186-1202. [10.1137/110853510]
A Multi-dimensional Optimal Harvesting Problem with Measure Valued Solutions
COCLITE, Giuseppe Maria;
2013-01-01
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 paper also provides results on the existence and uniqueness of strictly positive solutions to the elliptic equation, and an averaging inequality valid for subharmonic functions with Neumann boundary dataI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
