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Variational Inequalities for Combined Control and Stopping

We study the variational inequality associated with the combined stochastic control problem and establish the existence of a unique viscosity solution without uniform ellipticity. An application to the quasi-variational inequality is given.

Hiroaki Morimoto

[1] D. Kinderlehrer,et al. An introduction to variational inequalities and their applications , 1980 .

[2] P. Lions,et al. User’s guide to viscosity solutions of second order partial differential equations , 1992, math/9207212.

[3] M. Bardi,et al. Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations , 1997 .

[4] A. Bensoussan. Stochastic control by functional analysis methods , 1982 .

[5] H. Morimoto. Dynkin games and martingale methods , 1984 .

[6] Hui Wang,et al. Utility Maximization with Discretionary Stopping , 2000, SIAM J. Control. Optim..

[7] W. Fleming,et al. Controlled Markov processes and viscosity solutions , 1992 .

[8] Koike,et al. Variational Inequalities for Leavable Bounded-Velocity Control , 2003 .

[9] Jose Luis Menaldi,et al. On the Optimal Impulse Control Problem for Degenerate Diffusions , 1980 .