$\Gamma$-convergence for nonlocal phase transitions involving the $H^{1/2}$ norm

Tim Heilmann

We study functionals \begin{equation*} F_\varepsilon (u) := λ_\varepsilon \int_ΩW(u) \, dx + \varepsilon \|u\|_{H^{1/2}}^2 \end{equation*} for a double well potential $W$ and the G…