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The growth of curvature near a space-time singularity

✍ Scribed by Frank J. Tipler


Publisher
Springer US
Year
1979
Tongue
English
Weight
83 KB
Volume
10
Category
Article
ISSN
0001-7701

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Behaviour of solutions of a singular dif
✍ Shu-Yu Hsu πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 521 KB

We prove that if ΒΏ 2 and 0 6 u0 ∈ L 1 (R 2 ) ∩ L p (R 2 ) for some constant p ΒΏ 1 is a radially symmetric function, u0 ≑ 0, and u is the unique solution of the equation ut and rur(x; t)=u(x; t) β†’ -uniformly on [a; b] as r = |x| β†’ ∞ for any 0 Β‘ a Β‘ b Β‘ T where T = R 2 u0 d x=2 , then there exist uni