Sentence examples for a partial boundary from inspiring English sources

The second case is that we only can impose a partial boundary value condition.

Then our goal is to establish a partial boundary regularity for weak solutions of systems (1.1).

If some of ({ a_{i}(x)}) are degenerate on the boundary, a partial boundary value condition is imposed.

We conjectured that, to ensure the well-posedness of the solutions, a partial boundary value condition should be imposed on equation (1.4).

end{aligned} (2.9) Instead of the usual Dirichlet boundary value condition (1.4), in this case, only a partial boundary value condition is imposed.

If a partial boundary value condition is imposed, only when the domain is an N-dimensional cube, the stability of weak solutions is proved [13].

If in some directions the diffusion coefficients are degenerate on the boundary, while in other directions they are not degenerate, how to give a suitable partial boundary value condition to match the equation is a very interesting problem.

A similar partial boundary value condition was imposed on the equation begin{aligned} frac{partial v}{partial t}-operatorname{div} bigl(a(x) vert nabla v vert ^{p-2} nabla v bigr -sum_{i=1}^{N}bigr -sum_{i=1}^{x,t)v=f(x,t),quad (x,t) iN}b^{i}, end{aligned} (1.7) and a new approach to prescribe the boundary value condition rather than define the Fichera function was formulated by Yin and Wang [6].

If in some directions the diffusion coefficients are degenerate on the boundary, while in other directions they are not degenerate, how to give a suitable partial boundary value condition to match the equation was studied by the author in [13].

From my own perspective, condition (1.23) is an alternative of the partial boundary value condition (1.6).

It involves the application of a partial reflection boundary condition for this sidewall.