scholarly journals Optimal Boundary Surface for Irreversible Investment with Stochastic Costs

2017 ◽  
Vol 42 (4) ◽  
pp. 1135-1161 ◽  
Author(s):  
Tiziano De Angelis ◽  
Salvatore Federico ◽  
Giorgio Ferrari
Keyword(s):  
Boundary Surface ◽  
Irreversible Investment ◽  
Optimal Boundary

scholarly journals Irreversible investment under Lévy uncertainty: an equation for the optimal boundary

2016 ◽  
Vol 48 (1) ◽  
pp. 298-314 ◽  
Author(s):  
Giorgio Ferrari ◽  
Paavo Salminen
Keyword(s):  
Integral Equation ◽  
Optimal Investment ◽  
Positive Probability ◽  
Singular Stochastic Control ◽  
Irreversible Investment ◽  
Infinite Time ◽  
Optimal Boundary ◽  
For Profit ◽  
Profit Functions ◽  
New Equation

AbstractWe derive a new equation for the optimal investment boundary of a general irreversible investment problem under exponential Lévy uncertainty. The problem is set as an infinite time-horizon, two-dimensional degenerate singular stochastic control problem. In line with the results recently obtained in a diffusive setting, we show that the optimal boundary is intimately linked to the unique optional solution of an appropriate Bank–El Karoui representation problem. Such a relation and the Wiener–Hopf factorization allow us to derive an integral equation for the optimal investment boundary. In case the underlying Lévy process hits any point inRwith positive probability we show that the integral equation for the investment boundary is uniquely satisfied by the unique solution of another equation which is easier to handle. As a remarkable by-product we prove the continuity of the optimal investment boundary. The paper is concluded with explicit results for profit functions of Cobb–Douglas type and CES type. In the former case the function is separable and in the latter case nonseparable.

Transition to Clean Capital, Irreversible Investment and Stranded Assets

2014 ◽  
Author(s):  
Julie Rozenberg ◽  
Adrien Vogt-Schilb ◽  
Stephane Hallegatte
Keyword(s):  
Irreversible Investment

Estimating the Wall Heat Flux of Unsteady Conjugated Forced Convection Between Two Corotating Disks Using an Inverse Solution Scheme

2008 ◽  
Vol 130 (12) ◽  
Author(s):  
David T. W. Lin ◽  
Hung Yi Li ◽  
Wei Mon Yan
Keyword(s):  
Heat Flux ◽  
Forced Convection ◽  
Boundary Surface ◽  
Temperature Sensors ◽  
Inverse Solution ◽  
Wall Heat Flux ◽  
Unknown Boundary ◽  
Measured Temperature ◽  
Solution Scheme ◽  
Good Agreement

An inverse solution scheme based on the conjugate gradient method with the minimization of the object function is presented for estimating the unknown wall heat flux of conjugated forced convection flows between two corotating disks from temperature measurements acquired within the flow field. The validity of the proposed approach is demonstrated via the estimation of three time- and space-dependent heat flux profiles. A good agreement is observed between the estimated results and the exact solution in every case. In general, the accuracy of the estimated results is found to improve as the temperature sensors are moved closer to the unknown boundary surface and the error in the measured temperature data is reduced.

scholarly journals Grain-Boundary Surface Terminations Incorporating Oxygen Vacancies for Selectively Boosting CO2 Photoreduction Activity

Nano Energy ◽  
2021 ◽  
pp. 105869
Author(s):  
Xiaojie She ◽  
Xingwang Zhu ◽  
Jinman Yang ◽  
Yanhua Song ◽  
Yuanbin She ◽  
...  
Keyword(s):  
Grain Boundary ◽  
Oxygen Vacancies ◽  
Boundary Surface ◽  
Co2 Photoreduction
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