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Second-order integro-differential parabolic variational inequalities arising from the valuation of American option

Second-order integro-differential parabolic variational inequalities arising from the valuation of American option

This article deals with the existence and uniqueness of solution to the -valued parabolic variational inequalities with integro-differential terms which arise from the valuation of American option. The authors use the penalty method to construct a sequence of approximation parabolic problem and hence obtain the existence and uniqueness of solution …