A div-curl inequality for orthonormal functions
arXiv:2309.08014
Abstract
We prove a bound on the sum of the product of curl-free and divergence-free vector fields. Under appropriate orthonormality conditions our bound scales sublinearly in the number of terms, similar in spirit to Lieb--Thirring inequalities.
11 pages; dedicated to Fritz Gesztesy on the occasion of his 70th birthday