Parabolic weighted Sobolev-Poincar\'e type inequalities
Analysis of PDEs
2022-01-11 v2
Abstract
We derive weighted Sobolev-Poincar\'e type inequalities in function spaces concerned with parabolic partial differential equations. We consider general weights depending on both space and time variables belonging to a Muckenhoupt class, so-called the parabolic -class, where only the parabolic cubes are involved in the definition.
Cite
@article{arxiv.2108.00656,
title = {Parabolic weighted Sobolev-Poincar\'e type inequalities},
author = {Lars Diening and Mikyoung Lee and Jihoon Ok},
journal= {arXiv preprint arXiv:2108.00656},
year = {2022}
}
Comments
12pages, to appear in Nonlinear Analysis