Viscosity solutions of nonlinear second-order partial differential equations in hilbert spaces

1993 ◽  
Vol 18 (3-4) ◽  
pp. 601-650 ◽  
Author(s):  
Hitoshi Ishii
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Viscosity Solutions ◽  
Hilbert Spaces ◽  
Second Order ◽  
Partial Differential

scholarly journals Optimal control for stochastic partial differential equations and viscosity solutions of Bellman equations

1991 ◽  
Vol 123 ◽  
pp. 13-37 ◽  
Author(s):  
Makiko Nisio
Keyword(s):  
Optimal Control ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Nonlinear Equations ◽  
Viscosity Solutions ◽  
Hilbert Spaces ◽  
Stochastic Partial Differential Equations ◽  
Infinite Dimensions ◽  
Partial Differential ◽  
Bellman Equations

Recently M. G. Crandall and P. L. Lions developed the viscosity theory on nonlinear equations in infinite dimensions and optimal control in Hilbert spaces, in two series of papers, [1], [4].

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