Remote desktop wouldn't work. My old work laptop will not drive 4K, but my desktop will. So, I was thinking about getting a 4K and when I use my work laptop just run two connection to the monitor and config it as two 1920 x 2160 screens. It sounds like it would work. I could get 4K when the laptop cannot do 4K by treating it as a dual monitor setup.
I found out the Samsung U28E590D will do it. From the manual, "Select the icon image if you want to use PBP mode where the optimum resolution for the left and right sides of the screen is 1920 x 2160 (width x height)."
Not sure what others will do it.