Wavelet analogue of the Ginzburg–Landau energy and its Γ-convergence
Wavelet analogue of the Ginzburg–Landau energy and its Γ-convergence
This paper considers a wavelet analogue of the classical Ginzburg–Landau energy, where the _H_1 seminorm is replaced by the Besov seminorm defined via an arbitrary regular wavelet. We prove that functionals of this type Γ-converge to a weighted analogue of the TV functional on characteristic functions of finite-perimeter sets. The …