Asymptotic analysis for variational inequalities and its application to optimal stopping

References

• Albeverio , S. , Hoegh-Krohn , R. and Streit , L. 1977 . Energy forms, Hamiltonians and distorted Brownian path . J. Math. Phys , 18 : 907 – 917 .
   Web of Science ®Google Scholar
• Capuzzo-Dolcetta , I. and Lions , J.L. 1978 . “ On the asymptotic behaviour of the solution of variational inequalities ” . In Theory of Nonlinear Operator , Berlin : Academic Verlag .
   Google Scholar
• Capuzzo-Dolcetta , I. and Garonni , M. G. 1984 . Comportement asympototique de la solution des problemes non sous forme divergence avec condition de derivees obliques au bord , Comptes Rendus Acad.Sci.Paris .
   Google Scholar
• Carmona , R. 1979 . Regularity properties of Schrodinger and Dirichlet semigroups . J. Fund. Anal , 33 : 259 – 296 .
   Web of Science ®Google Scholar
• Doob , J. L. 1953 . Stochastic Processes , New York : Wiley .
   Google Scholar
• Fukushima , M . 1980 . “ Dirichlet Forms and Markov Processes ” . Tokyo : North-Holland .
   Google Scholar
• Krylov , N. V. 1980 . Controlled Diffusion Processes , New York : Springer-Verlag .
   Google Scholar
• Lasry , J. M. 1974 . Controle stochastique ergodique, These d'etet , Universite Paris IX-Dauphine .
   Google Scholar
• Nagai , H. 1978 . On an optimal stopping problem and a variational inequality . J. Math. Soc. Japan , 30 : 303 – 312 .
   Web of Science ®Google Scholar
• Nagai , H. 1986 . Stochastic control of symmetric Markov processes and nonlinear variational inequalities . Stochastics , 19 : 83 – 110 .
   Google Scholar
• Nagai , H. 1983 . Impulsive control of symmetric Markov processes and quasi- variational inequalities . Osaka J. of Math , 20 : 863 – 879 .
   Web of Science ®Google Scholar
• Robin , M. 1981 . On some impulse control problems with long run average cost . SIAM J. Control and Optim , 19 : 333 – 358 .
   Web of Science ®Google Scholar
• Stettner , L. 1986 . On the Poisson equation and optima! stopping of ergodic Markov processes . Stochastics , 18 : 25 – 48 .
   Google Scholar