Speaker
Reza Pakzad
(University of Pittsburgh )
Description
The curvature functionals (such as the Willmore functional) are usually defined under $W^{2,2}$ regularity assumptions on the given surface. We will explain how this assumption could be relaxed to the fractional Sobolev setting $W^{1+s, 2/s}$ for $s>1/2$, and will discuss the related problematics of a fractional variational plate model in nonlinear elasticity.
Primary author
Reza Pakzad
(University of Pittsburgh )