Now I don't know if any other apps have something like this but I know iMove has an ability to remove shaky cam, I assume that's probably even better than any cheap digital image stabilization you would get built into a phone (I doubt we will ever see optical image stabilization built into phones but one can dream.)
I expect a lot of camera shake from videos on this phone because being a phone it is light and hard to hold, you also will probably hold it far away from your body to look at the screen vs putting it up to your eye with a viewfinder.