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Volume 7, Issue 3
Existence of Weak Solutions for a Kind of Parabolic Steklov Problems

Anass Lamaizi, Abdellah Zerouali, Omar Chakrone & Belhadj Karim

DOI: 10.12150/jnma.2025.782

J. Nonl. Mod. Anal., 7 (2025), pp. 782-793.

Published online: 2025-05

[An open-access article; the PDF is free to any online user.]

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  • Abstract

Our focus in this study revolves around investigating the following parabolic problem

image.png

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.

  • Keywords

Parabolic problem, global existence, blow-up, asymptotic behavior.

  • AMS Subject Headings

35A01, 35B40, 35K05

  • Copyright

COPYRIGHT: © Global Science Press

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@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

image.png

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} }
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 -

Our focus in this study revolves around investigating the following parabolic problem

image.png

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.

Lamaizi , AnassZerouali , AbdellahChakrone , Omar and Karim , Belhadj. (2025). Existence of Weak Solutions for a Kind of Parabolic Steklov Problems. Journal of Nonlinear Modeling and Analysis. 7 (3). 782-793. doi:10.12150/jnma.2025.782
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