There is a always a possibility that the monitor is fried due to high-voltage kickback which, according to Lenz's law, can happen when blackouts occur. Although, this seems rather (if not very) unlikely if the house/wall socket is well-grounded.
Does this screen always behave like this when plugged into a PC?
Does the screen even display an image? (Be specific, what does "flashes the LG logo on a black screen" mean?) Because if the screen IS displaying an image, it might just be the VGA-connector. Or, hopefully not, the "screen-recognizer"... :dead: