From linear to bilinear pseudodifferential operators

Linear pseudodifferential operators arise as natural generalizations of partial differential operators with variable coefficients or, more generally, translation invariant operators. We start with a heuristic motivation for the introduction of these objects and some classical classes of symbols of pseudodifferential operators. We make then the transition to bilinear pseudodifferential operators, which generalize now the product of two functions and their derivatives. We dedicate the remainder of our talk to presenting some basic facts and results about the boundedness of bilinear pseudodifferential operators.

Refreshments will be served at 2:45 p.m. in the Faculty Lounge, Math Annex (Room 1115).