Seminar series
Date
Mon, 05 Nov 2018
Time
16:00 -
17:00
Location
L4
Speaker
Marta Lewicka
Organisation
University of Pittsburgh
In this talk, we will present results regarding the regularity and
rigidity of solutions to the Monge-Ampere equation, inspired by the role
played by this equation in the context of prestrained elasticity. We will
show how the Nash-Kuiper convex integration can be applied here to achieve
flexibility of Holder solutions, and how other techniques from fluid
dynamics (the commutator estimate, yielding the degree formula in the
present context) find their parallels in proving the rigidity. We will indicate
possible avenues for the future related research.