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Optimal conditions of non-simultaneous blow-up and uniform blow-up profiles in localized parabolic equations

✍ Scribed by Fengjie Li; Bingchen Liu; Sining Zheng

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
629 KB
Volume
72
Category
Article
ISSN
0362-546X

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## Abstract We consider the Dirichlet problem for a non‐local reaction–diffusion equation with integral source term and local damping involving power non‐linearities. It is known from previous work that for subcritical damping, the blow‐up is global and the blow‐up profile is uniform on all compact