@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

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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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.782}, url = {http://global-sci.org/intro/article_detail/jnma/24102.html} }