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The self-similar solutions to a fast diffusion equation

✍ Scribed by Yuan-Wei Qi

Publisher: Springer
Year: 1994
Tongue: English
Weight: 727 KB
Volume: 45
Category: Article
ISSN: 0044-2275
DOI: 10.1007/bf00952085

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## Abstract A demonstration method is presented, which will ensure the existence of positive global solutions in time to the reaction–diffusion equation −__u__~__t__~+Δ__u__+__u__^__p__^=0 in ℝ^__n__^×[0, ∞), for exponents __p__⩾3 and space dimensions __n__⩾3. This method does not require the initi