Hi, I actually have the same problem on my Note 8 model GT-N5100. It became worse over the last 2 weeks, I can hardly work on it for 5 minutes before the screen only shows lines. (usually in the colors of whatever I was working on. And it is very hot to the touch on the left hand side of the tablet. When I torque the screen a bit, it will look normal again, but as soon as I let it go it goes back to lines again. When taking a screenshot while it only shows lines, the screenshot shows the actual screen detail, not the lines. Is it the digitiser? Or maybe the on board video card as suggested? There are no cracks on the screen.
I love this tablet, but this is extremely frustrating.