Sentence examples for boundary value condition was from inspiring English sources

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].

One can see that no boundary value condition is required in Theorem 1.5.

As for the case of (Sigma_{1}=emptyset), no boundary value condition is necessary.

Existence of solutions to systems of differential inclusions with initial value condition or periodic boundary value condition are also obtained.

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

The stability of weak solutions, based on the partial boundary value condition, is established by choosing a suitable test function.

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].

While in the international way, the boundary value condition is not directly shown in the traditional way as (1.6), it is elegantly implicitly contained in family entropy inequalities.

If some of ({a_{i}(x)}) are degenerate on the boundary, a partial boundary value condition is imposed, the stability of weak solutions can be proved based on the partial boundary value condition.

If some of diffusion coefficients ({b_{i}(x)}) are degenerate on the boundary, the others are always positive, then how to impose a suitable boundary value condition is researched.