Lipschitz truncation method for parabolic double-phase systems and applications
Analysis of PDEs
2024-09-27 v3
Abstract
We discuss a Lipschitz truncation technique for parabolic double-phase problems of -Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet problem. Moreover, we show existence for a non-homogeneous double-phase problem. The Lipschitz truncation method is based on a Whitney-type covering result and a related partition of unity in the intrinsic geometry for the double-phase problem.
Cite
@article{arxiv.2304.09776,
title = {Lipschitz truncation method for parabolic double-phase systems and applications},
author = {Wontae Kim and Juha Kinnunen and Lauri Särkiö},
journal= {arXiv preprint arXiv:2304.09776},
year = {2024}
}
Comments
The manuscript has been revised according to the suggestions and comments of the reviewers