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Demailly's asymptotic Morse inequalities: A heat equation proof

✍ Scribed by Jean-Michel Bismut

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 613 KB
Volume: 72
Category: Article
ISSN: 0022-1236
DOI: 10.1016/0022-1236(87)90089-9

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## Abstract We estimate the blow‐up time for the reaction diffusion equation __u__~__t__~=Δ__u__+ λ__f__(__u__), for the radial symmetric case, where __f__ is a positive, increasing and convex function growing fast enough at infinity. Here λ>λ^\*^, where λ^\*^ is the ‘extremal’ (critical) value for