%0 Journal Article
%A Díaz Díaz, Gregorio
%A Díaz Díaz, Jesús Ildefonso
%A Faghloumi, C.
%T On an evolution problem associated to the modelling of incertitude into the environment
%D 2007
%@ 1468-1218
%U https://hdl.handle.net/20.500.14352/49624
%X 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.
%~