Very early in Frozen, we see that Anna's hair has a single streak of blonde through it, to signify the effects that young Elsa's accident has had on her memories of their childhood fun with her Ice Magic together.  

At the end of the movie, 

>! The undying love between the two sisters causes her to become completely unfrozen, and we even see the strand of hair is now red as it was in the beginning.  

Does this mean that the character has regained their memories?