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A Note on Nonexistence of Global Solutions to ut ≥ Δu − 12x · ∇u + λu + h(x, t)|u|p

✍ Scribed by Mohammed Guedda

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
83 KB
Volume
255
Category
Article
ISSN
0022-247X

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✦ Synopsis

We consider the inequality u t ≥ u -1 2 x • ∇u + λu + h x t u p , for p > 1 λ ∈ , posed in N × + N ≥ 1. We show that, in certain growth conditions, there is an absence of global weak solutions.

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