Non-local, non-convex functionals converging to Sobolev norms
https://doi.org/10.1016/j.na.2019.111626Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
We study the pointwise convergence and the -convergence of a family of non-local, non-convex functionals in for . We show that the limits are multiples of . This is a continuation of our previous work where the case was considered.
Tags: Non-local; Non-convex; Pointwise convergence-convergence; Sobolev norms.
Các bài viết liên quan đến tác giả Nguyễn Hoài Minh
Approximate Cloaking Using Transformation Optics for Acoustic and Electromagnetic Waves
Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation
Negative Index Materials: Some Mathematical Perspectives
Discreteness of interior transmission eigenvalues revisited
Characterization of the traces on the boundary of functions in magnetic Sobolev spaces
Non-local, non-convex functionals converging to Sobolev norms
G -convergence of non-local, non-convex functionals in one dimension