That would be the one. His name has been changed several times throughout his career. IIRC, it started out as John Cougar, then progressed to John Cougar Mellencamp, and now it's just John Mellencamp.
Kinda bizarre, but I've always dug the cat.
Maybe the next incarnation of his name will be a hip modern version: JMell
Actually, the initial change was forced on him by a record executive at the start of his career. On the radio the other day, I heard him say that the executive said that "Mellencamp" (his real name) sounded too weird and "German" (I kid you not) and if he didn't like Cougar he could always just go back to Indiana. Nice, huh? Now he's got his original name back, still putting out music, AND he's back in Indiana. Good for him.