Does the laptop display to an external monitor? If so, the video chip is not the problem. When the screen turns black can you still see a faint image of the desktop if you tilt the screen at different angles? If so, check the lid close switch. That turns off the backlight when the lid is closed and if it is faulty, the backlight may turn off while the system is operating. Try pressing and releasing the switch a couple of times to see if the LCD comes back on. If that is the cause, I would suggest returning the laptop and having them replace the switch at no charge. That should have been one of the first things they checked.