Publication

Two subtle convex nonlocal approximations of the BV-norm

Hoài-Minh Nguyên
2016
Journal Articles

Abstract

Inspired by the BBM formula and by work of G. Leoni and D. Spector, we analyze the asymptotic behavior of two sequences of convex nonlocal functionals (Psi(n)(u)) and (Phi(n)(u)) which converge formally to the BV-norm of u. We show that pointwise convergence when u is not smooth can be delicate; by contrast, Gamma-convergence to the BV-norm is a robust and very useful mode of convergence. (c) 2016 Elsevier Ltd. All rights reserved.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Two subtle convex nonlocal approximations of the BV-norm

Chat with Graph Search

Generalization of Scaled Deep ResNets in the Mean-Field Regime

Residual-based attention in physics-informed neural networks

Spatiotemporal energy‐density distribution of time‐reversed electromagnetic fields