Math. Model. Nat. Phenom.
Volume 14, Number 1, 2019
Economics and the environment: distributed optimal control models
|Number of page(s)||14|
|Published online||27 May 2019|
Distributed optimal control models in environmental economics: a review
Bordeaux University, GREThA (UMR CNRS 5113),
2 Aix-Marseille University (AMSE and IMéRA), IUF, Provence, France.
3 ORCOS, Vienna University of Technology, Wien, Austria.
* Corresponding author: email@example.com
Accepted: 15 March 2019
We review the most recent advances in distributed optimal control applied to Environmental Economics, covering in particular problems where the state dynamics are governed by partial differential equations (PDEs). This is a quite fresh application area of distributed optimal control, which has already suggested several new mathematical research lines due to the specificities of the Environmental Economics problems involved. We enhance the latter through a survey of the variety of themes and associated mathematical structures beared by this literature. We also provide a quick tour of the existing tools in the theory of distributed optimal control that have been applied so far in Environmental Economics.
Mathematics Subject Classification: 91B76 / 35Q91 / 49-02
Key words: Environmental economics / distributed systems / optimal control / partial differential equations
© The authors. Published by EDP Sciences, 2019
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