Shape optimization for the Maxwell equations under weaker regularity of the data
John Cagnol, Matthias Eller · Comptes Rendus Mathématique · 2010
We consider a shape optimization problem for Maxwell's equations with a strictly dissipative boundary condition. In order to characterize the shape derivative as a solution to a boundary value problem, sharp regularity of the boundary traces is critical. This Note establishes the Fréchet differentiability of a shape functional.