Sentence examples for with lower regularity from inspiring English sources

On the other hand, the PLLA surface shows increased granulation and formation of similar structures to structures on PEEK, but with lower regularity.

In the present paper, we will study the model (1.3) in the subcritical α > 1 2 and critical case α > 1 2. On the one hand, we will establish the solution with lower regularity for initial data θ 0 ∈ Ḣ 1 , and this improved the global existence for initial data θ0 ∈H s (s > 1) in [1].

Moreover the results obtained for other integral representations for several partial differential equations on domains with lower regularity (see, e.g., the references of [20] for C1 or Lipschitz boundaries and [21] for "worse" domains) lead one to hope that our approach could be extended to more general domains.

We have shown previously that ankyrin B also adopts a partially periodic pattern in axons albeit with a lower regularity (Xu et al., 2013), potentially due to an incomplete occupancy of the ankyrin B binding sites on the lattice structure and the presence of ankyrin B on intracellular membranes (Bennett and Lorenzo, 2013).

The definition of the space [ C 1, α ( S 1 ) ] sym 3 is similar to definition 4.2, with the unique difference of the lower regularity.

end{aligned} (1.5) is ill-posed for data with lower order Sobolev regularity and in a certain range of the Sobolev regularity, even if the solution exists globally in time, it fails to be smooth.

Matrix queries in NVIVO found FUn Group interviewees, with lower and higher regularity of attendance, often talked about the value and benefit of mixing across cultures further supporting the findings around other-group orientation.

During the cooling of an oriented film the bands were first generated around 170°C, and their regularity was improved with lowering temperature.

But even that level of violence is visited upon lower-income children with shocking regularity, along with the violence of hunger, poverty, and inadequate medical care.

Wigan, Blackburn and Sunderland used to pollute the lower reaches of the table with annoying regularity, but at least they were plucky underdogs.

For all other countries (lower part of Table 6), the patterns are generally similar, although with less regularity.