The following work was initiated on this assumption and aimed to first replicate these initial data in a larger, better defined, cohort of RA patients.
Weak solutions are constructed for arbitrary initial data in Hs.
When Airbnb released its initial data in 2015, it said it was doing so to "help policymakers craft smart rules for home sharing".
Introduction: Exploring bariatric surgery (BaS) utilization provides initial data in effective treatment allocation.
We also remark that the equation is locally well-posed for initial data in ˙H3/2.
In addition, our regularity results apply to the incompressible Navier Stokes equations with initial data in Q1,−1α;∞(Rn).
This result strengthens previous ones which showed that solutions starting from initial data in critical Besov spaces are classical.
We show that in the subcritical and critical cases the problem is globally well-posed with arbitrary initial data in Hmax{3/2−γ,0}.
While in the supercritical case, the problem is locally well-posed with initial data in H3/2−γ, and is globally well-posed under a smallness assumption.
Our methods may prove relevant for numerical solution of other mixed-type or elliptic problems, and in particular for the generation of initial data in general relativity.
As an example the method is applied to randomized initial data, in a setting where neither soliton nor linear approximations are accurate.
