Sentence examples for partial boundaries from inspiring English sources

This index is ultimately expressed by a boundary integration of local displacements and forces solutions over partial boundaries of the simplified model and the suppressed features.

and restricting to the partial boundary, we have (3.20).

Similarly, considering the potential inside and approaching the boundary, then restricting to the partial boundary : (3.19).

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).

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

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

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.

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

Certainly, if condition (1.14) is not true, how to clarify the partial boundary (Sigma_{1}) remains an open problem.

Moreover, according to Lemma 2.1, the partial boundary value condition (1.6) is satisfied in the sense of trace.