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.
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.
During the cooling of an oriented film the bands were first generated around 170°C, and their regularity was improved with lowering temperature.
But with some regularity we discuss what we wish Barack Obama would say.
The overall incidence of perforated appendicitis appeared as a slightly upward trend in the LIP, but it is difficult to identify the regularity, which occurred with a high incidence in certain years, but with a lower incidence in other years.
Many other bars, along with restaurants with ambitious bar programs, are doing likewise, but with slightly less regularity.
With this month's changes, "Squawk on the Street" will remain an ensemble, but with some more regularity.
Yeah, but not with any regularity.
