Sentence examples for full regularity of from inspiring English sources

Indeed, to incorporate the full regularity of solutions that results from the unfolding of singularities, our method is based on their spectral representation; to enable a simple high-order treatment of scattering boundaries, on the other hand, we resort to a discontinuous Galerkin finite element method for the solution of the resulting system of equations.

Under such assumptions on the structural conditions, full regularity of (1.1) at the boundary cannot, in general, be expected [1] even if the boundary data is smooth.

The only difference is that, instead of using condition, the conclusion is implied directly by (3.15) and (3.16), the full regularity of and Lemma 2.4.

Finally, we fix an exponent σ ∈ (0, 1) as follows: if g ≡ 0, σ can be chosen arbitrary (but henceforth fixed); otherwise we take σ fixed in ( 0, 1 - n s ]. Under such assumptions on the structural conditions, full regularity of (1.1) at the boundary cannot, in general, be expected [1], even if the boundary data is smooth.

Jost-Meier [11] established full regularity in a neighborhood of boundary for minima of functionals with the form ∫ Ω A ( x, u ) | D u | 2 d x.

In the case of minima of functionals of the form ∫ΩA x, u)|Du|2dx, Jost-Meier [8] established full regularity in a neighborhood of the boundary.

In the case of minima of functionals of the form ∫ Ω A ( x, u ) | D u | 2 d x, Jost-Meier [7] established full regularity in a neighborhood of the boundary.

Furthermore, we prove partial regularity up to the boundary for strong local minimizers in the non-homogeneous case and a full regularity result for Lipschitz extremals with gradient of vanishing mean oscillation.

It should not go unremarked that this style has come to prevail at a time when books urging women to marry early (Barbara Dafoe Whitehead's "Why There Are No Good Men Left," most recently) land in stores with the regularity of the full moon, and television shows with women competing for husbands command astonishing ratings.

"Ordinary People" in many ways resembles a traditional novel: realistic, concerned with social mores and psychological states, full of sharp descriptive language the "bleaching conquest of gentrification," the "demeaning regularity" of mornings.

Full thickness slicing of the tumour and the mesorectum allows a good assessment of the adequacy of excision and the regularity of the CRM, which is the second indicator of the resection quality.