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end{aligned}By Gronwall Lemma, this provides uniqueness (when (x 0)=y(0))) and stability.
This provides uniqueness of the minimizer as soon as (tau ) is small enough, and allows to perform the desired estimates.
In these cases, the human-friendly part of the name provides uniqueness (e.g., "CA1 2232 Basket" and "CA1 2232 Basket CCK+").
whatever is (nu ) (this is typically true when (f'(0)=-infty ), as it is the case for the entropy functional, and more generally in case of linear or fast diffusion), which provides uniqueness up to additive constants of the potential.
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In this subsection, we provide uniqueness of solutions for CSHFDEs (1).
This requires to discuss their (lambda )-convexity, which is also useful because it can provide uniqueness results.
Tracks in ZFNGenome also provide "uniqueness" and ZiFOpT (Zinc Finger OPEN Targeter) "confidence" scores that estimate the likelihood that a chosen ZFN target site will function in vivo.
The following condition provides the uniqueness of fixed points of the maps considered in Theorem 2.3 and Theorem 2.4.
Theorem 8 asserts that assumption (u0) together with Corollary 2 provides the uniqueness of common fixed point.
Variants where the motion of the crowd also undergoes diffusion are also studied, as in [38, 76] (in particular, [76] provides interesting uniqueness results) as well as variants with several species (see [25]).
In this section, we provide the uniqueness and conditional stability in Theorems 3.1 and 3.2, respectively.
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