ipad - white screen and computer won't recoginize

I have an ipad 3rd gen. It has a white screen of death. When I plug it into itunes, the computer won't recognize that it is connected. When i put it in DFU mode. It sees the ipad and determine all the charcteristics about it. But once I run the restore on itunes, it goes back to becoming unrecognizable. Also the white screen is still there. Any suggestions on how to fix this?

Are you restoring iOS clean, or restoring a backup? Do a restore and set it up as a new device to see if that works.