What was found
AIRCRAFT WAS GROUNDED: AN EMERGENCY WAS DECLARED DUE TO: FEEL DIFFERENTIAL PRESS LIGHT ILLUMINATED ON CLIMBOUT AFTER TAKEOFF AT 1000FT, LIGHT WENT OUT AT 12,000FT, 295KTS. BUT THEN CAME BACK ON AGAIN FL320, 260KTS AND STAYED ON THE REMAINDER OF FLIGHT. REPEAT ITEM. AIRCRAFT EMERGENCY LANDED SAFELY AT RDU. (OPEN).