Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces
Analysis of PDEs
2021-05-12 v1
Abstract
We present weighted Sobolev spaces and prove a trace theorem for the spaces. As an application, we discuss non-zero boundary value problems for parabolic equations. The weighted parabolic Sobolev spaces we consider are designed, in particular, for the regularity theory of stochastic partial differential equations on bounded domains.
Keywords
Cite
@article{arxiv.2105.05131,
title = {Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces},
author = {Doyoon Kim and Kyeong-Hun Kim and Kwan Woo},
journal= {arXiv preprint arXiv:2105.05131},
year = {2021}
}