Sentence examples for based on the regularity from inspiring English sources

Three different approaches are now available if one wants to study these stability issues: a first one using symmetrization, another one via mass transportation and a third one based on the regularity theory for minimal surfaces and other PDEs.

Thereafter, based on the regularity results for solutions of (SE), we intend to establish the approximate controllability for (SE).

In this paper, based on the regularity for solutions of equation (1.2), we obtain the approximate controllability for nonlinear evolution equation (1.1) with monotone operators and nonlinear controllers.

In this section, we give a general principle of sub-supersolution method for the problem (1.1) based on the regularity results and the comparison principle.

In Section 2, we establish a general principle of the sub-supersolution method for the problem (1.1) based on the regularity results and the comparison principle.

In this section we give a general principle of sub-supersolution method for the problem P λ f based on the regularity results and the comparison principle.

Thus, a combination of pedohumic method with soil geographic research made it possible to reconstruct the environmental evolution of the whole mountainous territory, based on the regularities of modern landscapes.

This notion is similar to a default mechanism based on the regularities of a language suggested by other authors [7], [17], [18].

> Our results shows that using a set of linguistic patterns based on the regularities observed in the expression of patient information in clinical abstracts, we were able to identify 50 more case reports that had not been tagged as such.

Based on the established regularity, an algorithm for the process duration control is proposed.

In this section, based on the asymptotic regularity obtained above, we will construct an exponential attractor by the abstract method devised in [12].