Samsung 940mw intermittent power...

That is exactly what mine was doing. I called technical support and they are sending me a new one. This monitor comes with a 3 year parts and labor warranty. I purchased mine in June 2006. You can opt to repair or replace. I chose replace. I am waiting for the new monitor to arrive now.
Good luck!
P.S. I checked all connections and drives. I plugged in an old monitor and all was fine. I plugged the Samsung into a different CPU and it did the same thing. Go figure. I suspect the power cord or some short there in.
Let me know if you find out more

I don't have a solution but would like to compare information as i just started looking into this problem myself. 1. I bought my Samsung 940mw in March, 2006 but didn't start having problems with it until around April, 2007 2. I'll be using it as my pc monitor when the screen goes black and the power light stays solid green. The monitor doesn't respond to the remote control. Nor can i manually turn it off via power button BUT i can restore it by a) turning power off at the UPS outlet it's plugged into b) removing the monitor cable from PC port c) restoring power and waiting for the Samsung diagnostic message about no monitor detected then d) plugging the cable back in. My monitor image reappears. 3. fyi I only use the analog monitor input. Samsung also released a new driver which hasn't made a difference. Within just last couple months the monitor will sometimes just go black a coupla seconds and come back on without any intervention