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In this paper, we prove a pseudolocality-type theorem for $\mathcalL$-complete noncompact Ricci flow which may not have bounded sectionalcurvature; with the help of it we study the uniqueness of the Ricci flow onnoncompact manifolds. In particular, we prove the strong uniqueness theorem forthe $\mathcal L$-complete Ricci flow on the Euclidean space. This partiallyanswers a question proposed by B-L.~Chen.

Pseudolocality and uniqueness of Ricci flow on almost Euclidean noncompact manifolds