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Global well-posedness of solutions to a class of heat equation under dynamical type boundary conditions

PurposeBy employing the Galerkin approximation and a family of potential wells, we establish the existence of a global solution and finite-time blow-up under certain suitable conditions. Additionally, we provide results concerning the asymptotic behavior of certain solution with positive initial ene...

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Hlavní autoři: Mahmoud El Ahmadi, Anass Lamaizi, Mohammed Barghouthe
Médium: Artigo
Jazyk:Inglês
Vydáno: Emerald Publishing 2025-11-01
Edice:Arab Journal of Mathematical Sciences
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On-line přístup:https://www.emerald.com/ajms/article-pdf/32/1/76/10416317/ajms-05-2024-0087en.pdf
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