TY - JOUR
T1 - Definite Condition of the Evolutionary $\vec{p}(x)$−Laplacian Equation
AU - Zhan , Huashui
AU - Feng , Zhaosheng
JO - Analysis in Theory and Applications
VL - 3
SP - 297
EP - 321
PY - 2022
DA - 2022/07
SN - 38
DO - http://doi.org/10.4208/ata.OA-2021-0029
UR - https://global-sci.org/intro/article_detail/ata/20803.html
KW - Definite condition, stability, general characteristic function method, weak solution,
Laplacian equation.
AB - <p style="text-align: justify;">For the nonlinear degenerate parabolic equations, how to find an appropriate boundary value condition to ensure the well-posedness of weak solution has been
an interesting and challenging problem. In this paper, we develop the general characteristic function method to study the stability of weak solutions based on a partial
boundary value condition.</p>