Shape optimization for the Maxwell equations under weaker regularity of the data |
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| Authors: | John Cagnol Matthias Eller |
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| Institution: | 1. École Centrale Paris, laboratoire MAS, grande voie des vignes, 92295 Chatenay-Malabry cedex, France;2. Georgetown University, Dept. of Mathematics, Washington, DC 20057, USA |
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| Abstract: | 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. |
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