@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 -
