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Keywords: Global existence
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Journal Articles
Arab Journal of Mathematical Sciences (2026) 32 (1): 76–89.
Published: 06 November 2025
... may be seen at Link to the terms of the CC BY 4.0 licence . Parabolic problem Global existence Blow-up Asymptotic behavior 35A01 35B40 35K05 In this work, we mainly study the following parabolic problem: (1) ∂ u ∂ t − Δ u + u = 0 in Ω...
Journal Articles
Arab Journal of Mathematical Sciences (2020) 26 (1-2): 127–152.
Published: 15 March 2019
...Tarek Saanouni The initial value problem for a semi-linear high-order heat equation is investigated. In the focusing case, global well-posedness and exponential decay are obtained. In the focusing sign, global and non global existence of solutions are discussed via the potential well method...
