@Article{JNMA-7-782, author = {Lamaizi , AnassZerouali , AbdellahChakrone , Omar and Karim , Belhadj}, title = {Existence of Weak Solutions for a Kind of Parabolic Steklov Problems}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {3}, pages = {782--793}, abstract = {
Our focus in this study revolves around investigating the following
parabolic problem
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.