I'm a Eurupean master's degree student. My main interest lies within the area of PDEs. I'm about to start applying to PhD programs. I've discussed at lenght with my master's degree advisor about possible places to study at. Her suggestions are mostly about European institutions (where her collaborators work), since she does not have much contact with American institutions. So, I'm here to collect some information.
Apart from extraordinarily prestigious flagship schools (Courant, Berkeley, MIT), what American Universities have strong programs and numerous faculty members (that complessively cover a broad range of interests) in the area of PDEs?