The BV solution of the parabolic equation with degeneracy on the boundary

Huashui Zhan, and Shuping Chen. "The BV solution of the parabolic equation with degeneracy on the boundary." Open Mathematics 14.1 (2016): 272-282. <http://eudml.org/doc/277089>.

@article{HuashuiZhan2016,
abstract = {Consider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.},
author = {Huashui Zhan, Shuping Chen},
journal = {Open Mathematics},
keywords = {Local BV Solution; Boundary degeneracy; Partial boundary condition; Stability; local BV solution; boundary degeneracy; partial boundary condition; stability},
language = {eng},
number = {1},
pages = {272-282},
title = {The BV solution of the parabolic equation with degeneracy on the boundary},
url = {http://eudml.org/doc/277089},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Huashui Zhan
AU - Shuping Chen
TI - The BV solution of the parabolic equation with degeneracy on the boundary
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 272
EP - 282
AB - Consider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.
LA - eng
KW - Local BV Solution; Boundary degeneracy; Partial boundary condition; Stability; local BV solution; boundary degeneracy; partial boundary condition; stability
UR - http://eudml.org/doc/277089
ER -