Ergodic control of degenerate diffusions
Gopal K. Basak, Vevek S. Borkar, Mrinal K. Ghosh · Stochastic Analysis and Applications · 1997
We study the ergodic control problem of degenerate diffusions on RdUnder a certain Liapunov type stability condition we establish the existence of an optimal control. We then study the correponding HJB equation and establish the existence of a unique viscosity solution in a certain class