Digitizer is going bad. Same exact problem happened to mine. I replaced it myself and it works perfect. I found how to videos on youtube and bought a digitizer for about $37 online. Only took a half hour to tear apart and replace. On the difficulty level, I'd give it a 6 or 7.
YMMV.
Someone gave me an Eris that had digitizer problems along the lower left side of the screen (in portrait orientation). I bought a replacement digitizer ($22 iirc), installed it, and it worked perfectly - for about the first 30 minutes. Then, the problem re-appeared
in exactly the same location with the new digitizer.
Same behavior for a variety of stock or developer ROMs, so highly doubtful that it was a "software problem". Very very odd - the chip that does the capacitive sensing is on the flex circuit attached to the digitizer, so it gets replaced when you replace the digitizer; I suppose that the signals that come off the mini-connector between the digitizer assembly and the phone's mobo are only power, ground, and I2C signals.
But there you go; taken all those observations together, I'd suspect that I had a problem on the phone's motherboard which was thermally dependent.
Despite my (negative) experience, the odds are still in favor that a digitizer replacement will fix the problem; but there is an outside chance that it won't.
just sayin',
bftb0