Space-Time Separability in FMRI: Asymptotic Power Analysis and Cramér-Rao Lower Bounds

2013 ◽  
Vol 61 (1) ◽  
pp. 148-153 ◽  
Author(s):  
Joonki Noh ◽  
Victor Solo
Keyword(s):  
Lower Bounds ◽  
Power Analysis ◽  
Space Time ◽  
Asymptotic Power

Gradient estimates for degenerate diffusion equations II

1982 ◽  
Vol 91 (3-4) ◽  
pp. 335-346 ◽  
Author(s):  
Nicholas D. Alikakos ◽  
Rouben Rostamian
Keyword(s):  
Initial Data ◽  
Lower Bounds ◽  
Space Time ◽  
Diffusion Equations ◽  
Upper And Lower Bounds ◽  
Gradient Estimates ◽  
Degenerate Diffusion ◽  
Lipschitz Continuous ◽  
Degenerate Diffusion Equations

SynopsisWe establish upper and lower bounds for various norms of solutions and their gradients for the equation ut = div (|∇u|m−1 ∇u) in ℝN in terms of the norms of the initial data. Based on the L∞ estimate of ∇u, we conclude that u(x, t) is Lipschitz continuous in space-time, for all t>0, whenever u(x,0) is in L1(ℝN).

scholarly journals Conditional Lower Bounds for Space/Time Tradeoffs

2017 ◽  
pp. 421-436 ◽  
Author(s):  
Isaac Goldstein ◽  
Tsvi Kopelowitz ◽  
Moshe Lewenstein ◽  
Ely Porat
Keyword(s):  
Lower Bounds ◽  
Space Time

Space, Time and Einstein

2002 ◽  
Author(s):  
J. B. Kennedy
Keyword(s):  
Space Time
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