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Viscosity solutions of fully nonlinear functional parabolic PDE
release_q5poryaoxbh5fmu3pjbljjldgm
by
Liu Wei-an,
Lu Gang
Published
in International Journal of Mathematics and Mathematical Sciences
by Hindawi Limited.
2005 Volume 2005, Issue 22, p3539-3550
Abstract
By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth. The comparison principle is shown. Then the existence and uniqueness are established by the fixed point theory.
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