Based on most of the rumors (1024x768 screen), etc, they should work. The iPad 2, which is still being sold, is also at that resolution.
Things which may not work, depending on what features are or are not included, are mapping apps (if no GPS like the current Wi-Fi only models). Or, if the app requires a lot of storage, and the mini doesn't support a large enough capacity.
It would seem likely that it will just have smaller screen elements, so if an app assumes a 9.7" screen, it might be too small.
Or, if Apple really goes crazy, and decides to go Intel for the CPU, nothing will work until recompiled.
Things which may not work, depending on what features are or are not included, are mapping apps (if no GPS like the current Wi-Fi only models). Or, if the app requires a lot of storage, and the mini doesn't support a large enough capacity.
It would seem likely that it will just have smaller screen elements, so if an app assumes a 9.7" screen, it might be too small.
Or, if Apple really goes crazy, and decides to go Intel for the CPU, nothing will work until recompiled.