Boundary value problems for parabolic operators in a time-varying domain
Analysis of PDEs
2013-12-10 v1
Abstract
We prove the existence of unique solutions to the Dirichlet boundary value problems for linear second-order uniformly parabolic operators in either divergence or non-divergence form with boundary blowup low-order coefficients. The domain is possibly time varying, non-smooth, and satisfies the exterior measure condition.
Cite
@article{arxiv.1312.2104,
title = {Boundary value problems for parabolic operators in a time-varying domain},
author = {Sungwon Cho and Hongjie Dong and Doyoon Kim},
journal= {arXiv preprint arXiv:1312.2104},
year = {2013}
}
Comments
27 pages, 1 figure