Díaz Díaz, GregorioDíaz Díaz, Jesús IldefonsoFaghloumi, C.2023-06-202023-06-2020071468-121810.1016/j.nonrwa.2006.03.013https://hdl.handle.net/20.500.14352/49624We consider a mathematical model, posed by J.E. Scheinkman, simulating that an industrial project takes place into the environment without destroying it. We introduce a change of variable leading the formulation to a nonlinear evolution problem which we study by means of L-infinity-accretive operator techniques. We prove that under suitable conditions there is extinction in finite time, which corresponds to some special behaviour of the solution of the original stochastic control problem.engjournal articlehttp://www.sciencedirect.com/science/journal/14681218open access519.216Stochastic control problemIncertitude environmentUnilateral problemsProcesos estocásticos1208.08 Procesos Estocásticos