Establishes global well-posedness for nonlocal linear equilibrium HJB equations via method of continuity and Schauder estimates, plus local well-posedness for the nonlinear case via linearization and fixed-point arguments.
Lunardi , Maximal space regularity in nonhoomogeneous initial boundary value parabolic problem, Numerical Functional Analysis and Optimization, 10 (1989), pp
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On the Well-posedness of Hamilton-Jacobi-Bellman Equations of the Equilibrium Type
Establishes global well-posedness for nonlocal linear equilibrium HJB equations via method of continuity and Schauder estimates, plus local well-posedness for the nonlinear case via linearization and fixed-point arguments.