Sentence examples for boundary of domain from inspiring English sources

By imposing optimal assumptions on (p cdot)), (A x)) and the boundary of domain Ω, we finally state our main results.

where A is a general differential operator, B is a boundary operator, f ( r ) is a known analytical function, and Γ is the boundary of domain Ω.

In the structure of ZIKV helicase, a positively charged tunnel can be clearly identified along the domain boundary of Domain III, which directly interacts with Domain I and Domain II (Fig. 2E).

We would like to remark that the δ-flatness Reifenberg condition (2.6) for the boundary of domain is meaningful in the area of geometric measure theory only if δ is small enough, see [28].

Additionally, similar to the DENV helicase, the ZIKV helicase binds to ssRNA by a positively charged tunnel identified along the domain boundary of Domain III, which directly interacts with Domain I and Domain II as well (Figs. 3 5).

By choosing a smooth domain such that, from the theory of the regular of solutions of the boundary value problem for elliptic systems in smooth domains and near the piece smooth boundary of domain (see [9] for reference), we have for almost all and the following inequality holds (4.3).

where △ = ( ∂ ∂ x 1 ) 2 + ⋯ + ( ∂ ∂ x n ) 2. In order to obtain u j ( x ) and u r ( x ), the process in all the waveguide for the common boundary of domains Ω j and Ω r is evaluated.

Can we describe the class of complex Clifford algebras-valued functions from Hölder continuous space extending monogenically from the fractal boundary of a domain through the whole domain?

end{aligned} (2.4) We are in a position to introduce our principal assumptions on the coefficients (A x)) and the geometric structure of the boundary ∂Ω of domain.

The boundary of the domain is a sphere (3.22).

Red lines show boundaries of domains and they connect centre of particles that build the domain.