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The existence and uniqueness of the mild solution for a class of functionalSPDEs with multiplicative noise and a locally Dini continuous drift are proved.In addition, under a reasonable condition the solution is non-explosive.Moreover, Harnack inequalities are derived for the associated semigroup undercertain global conditions, which is new even in the case without delay.

Mild Solutions and Harnack Inequality for Functional SPDEs with Dini Drift