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On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions
Lobachevskii journal of mathematics, Tome 17 (2005), pp. 11-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper studies the smoothness of solutions of the degenerate Hamilton–Jacobi–Bellman (HJB) equation associated with a linear-quadratic regulator control problem. We establish the existence of a classical solution of the degenerate HJB equation associated with this problem by the technique of viscosity solutions, and hence derive an optimal control from the optimality conditions in the HJB equation.
Keywords: stochastic differential equation, Hamilton–Jacobi–Bellman equation, linear-quadratic problem, viscosity solutions, applications to control theory. 
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     author = {M. A. Baten},
     title = {On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions},
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}
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M. A. Baten. On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions. Lobachevskii journal of mathematics, Tome 17 (2005), pp. 11-23. http://geodesic.mathdoc.fr/item/LJM_2005_17_a1/

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