In this article, the authors apply the super-solution and sub-solution methods, instead of energy estimate methods, to investigate the critical extinction exponents for a fast diffusion equation with a nonlocal source and an absorption term.
On the other hand, the super-solution w ( x, t ) can be chosen to be a large positive constant L satisfying L ≥ max { ∥ u 0 ∥ L ∞ , ( a | Ω | b ) 1 r − q, ρ M 1 m max t ≥ 0 g ( t ) }.
Dunk the clothes into the super-solution.
I thought about housing all of the content on a single page and using some JS to move from one to the next, but I was a little worried about performance so I again opted for the super simple solution.
Non-specific binding was blocked by 5 min incubation with the Super Block Solution (ScyTek Laboratories).
A vector function defined on, for some, is called a sub (or super) solution of ( 1.1 )–( 1.3 ), if all the following hold: (1) ; (2) for, and for almost all ; (3) (2.1) .
Since ∂Ω satisfies the Wiener criterion, we use the sub-super solution method similarly to [4] and get that the positive solution (u_{0}) of (1.2) is continuous up to ∂Ω.
A working stock solution prepared each day from the super stock solutions at a concentration of 10 μg/ml was used to spike the calibrators.
With the development of set-valued analysis, some researchers studied the super efficient solutions for vector optimization problems with set-valued maps.
A simple spraying technology was used to coat the super-hydrophobic solution on the glass substrate.
The released carbohydrates were analyzed both in a positive-ion mode using the super-DHB solution (Bruker Daltonik) as a matrix and in a negative-ion mode using 2′,4′,6′-trihydroxyacetophenon (THAP) as a matrix as described previously (Papac et al. 1996; Kanda et al. 2006).
