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01136nam a2200193Ia 4500 |
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10.1016-j.jmaa.2022.126447 |
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220718s2022 CNT 000 0 und d |
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|a 0022247X (ISSN)
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|a Refined blow-up asymptotics for a perturbed nonlinear heat equation with a gradient and a non-local term
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|b Academic Press Inc.
|c 2022
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| 856 |
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|z View Fulltext in Publisher
|u https://doi.org/10.1016/j.jmaa.2022.126447
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|a We consider in this paper a perturbation of the standard semilinear heat equation by a term involving the space derivative and a non-local term. In some earlier works [1,2], we constructed a solution u for that equation such that u and ∇u both blow up at the origin and only there. We also gave the final blow-up profile. In this paper, we refine our construction method in order to get a sharper estimate on the gradient at blow-up. © 2022 Elsevier Inc.
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|a Blow-up
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|a Gradient term
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|a Nonlinear heat equation
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|a Non-local term
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|a Abdelhedi, B.
|e author
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|a Zaag, H.
|e author
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| 773 |
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|t Journal of Mathematical Analysis and Applications
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