Topological Optimization and Optimal Transport

Applying to (5.21b) the Cauchy–Schwarz inequality, the estimates of I₁, I₂, I₃ succeed

with C > 0, which together with the inf-sup condition (5.6) proves the theorem.

Based on Theorem 5.4, in the following section, we treat asymptotically for ε ↘ +0 the optimal value function J in (3.47) depending on the boundary impedance α.

4.5.3 Inverse Helmholtz problem under Robin boundary condition

In contrast to Sections 4.3.3 and 4.4.3, here the test ...