Sentence examples for regularity of problems from inspiring English sources

Afterwards, in Sections 2 and 3, by a similar method to [1], [2], we give results on the regularity of problems with initial condition t = h for Schrödinger systems in domains with conical points.

The regularity of problem (2.2 - 2.3 2.2 - 2.3ed by analogous property for problem (2.5)-(2.7).

By employing the concept of sums of accretive operators, we shall prove the maximal regularity of problem (1).

Components for off-road bicycles including handlebars continue to be recalled with regularity because of problems with structural failure as a result of high cycle fatigue in the off-road environment.

The practices reflect the regularity of everyday problems, but at the same time, they also reflect the structure of the environments we find ourselves in.

In this paper, we establish the separability properties of the problem (1.1) and the maximal regularity of Cauchy problem for parabolic CDOE.

The maximal regularity of this problem in mixed L p norms is derived.

Applying Theorem 2.1 we establish the maximal regularity of the problem (3.1) in the mixed norm Z.

Considering the regularity of the problem, the asymptotic behavior of the two processes shall be the same, as we shall see in what follows.

Therefore, much research has focused on developing computationally efficient methods, by either exploiting the regularity of the problem geometry in the direction along the track or assuming a simplified track structure.

According to the well known Lagrange multipliers rule (and assuming the C 1 regularity of the problem), if x∈M is optimal then there exists a nontrivial couple ((psi,psi ^{0}) in mathbb {R}^{n} times mathbb {R} ) such that psi.{dE}_{x_{0},t_{f}} u)+psi^{0} {dC}_{t_{f}} u)=0, (4).