A div-curl inequality for orthonormal functions

Published 14 Sep 2023 in math.AP, math-ph, math.FA, math.MP, and math.SP | (2309.08014v1)

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.

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Authors (1)

Rupert L. Frank

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