Sentence examples for regularity result from inspiring English sources

Our theorem gives a refinement of the regularity result.

The crucial point is the following microlocal analytic regularity result.

We begin with the following asymptotic regularity result.

Therefore, we immediately obtain the following regularity result.

In particular, the optimal regularity result can be obtained.

Now we give a regularity result of an ( l, m ) weak solution.

The existence result and the regularity result are given by the following lemma (see [23]).

In this section we proceed to the proof of partial regularity result.

Further, we establish the optimal partial regularity result of very weak solutions to (1.1).

We state a regularity result which allows us to obtain the solvability of the problem.

From Lemma 3.1, we obtain the following regularity result for the control variable.