Sentence examples for a higher regularity of from inspiring English sources

In order to obtain a higher regularity of global strong solutions, there are many complicated estimates on higher derivations of the solution involved; this is our difficulty.

The continuity and curvature terms need to be weighted with values just high enough to maintain a high regularity of the mesh.

The justification for the above assumption is the following: The continuity and curvature terms need to be weighted with values just high enough to maintain a high regularity of the mesh.

More precisely, Holschneider (1995) has shown that a high regularity of the signal is translated via the CWT from a power-law variation: (9)This result confirms that if the stochastic process s(t) is self-affine or, if it has some long-range dependence properties characterised by the local exponent h(t), then the wavelet coefficients, at a fixed scale, form a stationary process.

Due to the solution of the corresponding stationary equation of (1.1) (-Delta h+lambda h+f(h)=g) only belonging to (H^{1}), we cannot expect any higher regularity of the global attractor than (mathcal {H}).

Furthermore, the width of the peak reduces with time indicating a higher regularity.

Before we dwell into a review of results concerning higher regularity of the classifying maps, we consider in the next section the basic examples of projective varieties that are classifying spaces.

Now, we end this section with the following lemma, which plays an important role in the proof of higher regularity of the pullback attractors.

For truncated approximation the reconsideration partly arises from the difference between fractional derivative in R L sense and Caputo sense: Caputo fractional derivative requires higher regularity of the unknown than R L version.

In order to obtain higher regularity of global solutions, there are many complicated estimates on higher derivations of solutions to be involved, this is our main difficulty.

In fact, the better inclusion between Morrey and Hölder spaces permits to obtain higher regularity of the solutions to different elliptic and parabolic boundary problems.