The phrase "and higher regularity of" is correct and usable in written English.
It can be used when discussing the increased consistency or uniformity of a particular subject or phenomenon.
Example: "The study revealed a correlation between the treatment and higher regularity of patient recovery times."
Alternatives: "and increased consistency of" or "and greater uniformity of".
In order to obtain existence and higher regularity of global solutions, there are many complicated estimates on external force and higher derivations of solution to be involved, this is our difficulty.
Matrix queries in NVIVO found FUn Group interviewees, with lower and higher regularity of attendance, often talked about the value and benefit of mixing across cultures further supporting the findings around other-group orientation.
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.
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 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.
Now, we end this section with the following lemma, which plays an important role in the proof of higher regularity of the pullback attractors.
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.
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}).
This is due to the fact that the angle entropy of the buried residues is lower than that of the exposed ones, demonstrating the higher regularities of the protein fragments in core regions.
