TY - JOUR
T1 - Existence of Weak Solutions for a Kind of Parabolic Steklov Problems
AU - Lamaizi , Anass
AU - Zerouali , Abdellah
AU - Chakrone , Omar
AU - Karim , Belhadj
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 782
EP - 793
PY - 2025
DA - 2025/05
SN - 7
DO - http://doi.org/10.12150/jnma.2025.782
UR - https://global-sci.org/intro/article_detail/jnma/24102.html
KW - Parabolic problem, global existence, blow-up, asymptotic behavior.
AB - <p style="text-align: justify;">Our focus in this study revolves around investigating the following
parabolic problem<br/></p><p style="text-align:center"><img src="https://admin.global-sci.org/uploads/ueditor/image/20250530/1748573952355967.png" title="1748573952355967.png" alt="image.png" width="355" height="102"/></p><p style="text-align: justify;">By using the Galerkin approximation and a family of potential wells, we obtain
the existence of global solution and finite time blow-up under some suitable
conditions. On the other hand, the results for asymptotic behavior of certain
solutions with positive initial energy are also given.<br/></p>