Brown and assistant Archie Knox received a warm ovation as they walked along the track towards the tunnel after their team kept their Clydesdale Bank Premier League top-six hopes alive.
Brown will move aside for Derek McInnes, who was among the 10,175 crowd, after the game at Tannadice next Saturday and Aberdeen gave themselves a chance of starting off the new manager's reign in the top half after moving above Hibernian and Dundee United into seventh place.
Brown said: "I'm not an emotional guy but it was nice. When you walk down there, I have heard it the other way, but nothing bad.
"They always applaud the Aberdeen manager up the track at the start of the game and I always acknowledge it.
"But going back at half-time if you're not winning: 'Get it sorted out Brown'. They tell you.
"But the support to me since I have been here has been fantastic.
"I'm grateful to the support because it has been consistently supportive, even when you lose a game.
"There were a couple of games when the team was catching it and I was catching it, they were frustrated.
"But the response has been terrific and today was very pleasant."