What was found
WHILE AT CRUISE AT FL 350, RECEIVED AN EICAS MESSAGE "DOOR PAX AFT OPEN" WITH RED INDICATION FOR L2 DOOR ON MFD STATUS PAGE. FOLLOWED QRH, CABIN PRESSURE NORMAL. VERIFIED GREEN DOOR CLOSED INDICATORS ON DOOR. MESSAGE PERSISTED REST OF FLIGHT. CLEANED AND OPS CHECKED L2 DOOR INDICATION, IAW AMM 52-72-21.