RT Journal Article T1 On an evolution problem associated to the modelling of incertitude into the environment A1 Díaz Díaz, Gregorio A1 Díaz Díaz, Jesús Ildefonso A1 Faghloumi, C. AB We 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. PB Elsevier SN 1468-1218 YR 2007 FD 2007 LK https://hdl.handle.net/20.500.14352/49624 UL https://hdl.handle.net/20.500.14352/49624 LA eng NO DGISGPI NO EC DS Docta Complutense RD 9 abr 2025