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

Open Mathematics (2016)

- Volume: 14, Issue: 1, page 272-282
- ISSN: 2391-5455

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topHuashui 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 -

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