Sentence examples for delicate estimates from inspiring English sources

Therefore, we have to obtain more delicate estimates and analysis for the solutions.

Some ideas and more delicate estimates are introduced to prove these results.

Finally, (1.1 - 1.8 1.1 - 1.8licared, it turns out that very delicomplicatedtes are needed.

Some ideas and delicate estimates are introduced to prove these results.

Some new ideas and more delicate estimates are introduced to prove these results.

To overcome this difficulty, we should use some proper embedding theorems, the interpolation techniques as well as many delicate estimates.

This requires the use of more technically involved arguments and of more delicates estimates, see Sect. 4 in [62].

The proof of the above fact becomes an essential part of this paper and it will be done by use of delicate a priori estimates.

Guo and Yuan [11] proved the existence and uniqueness of global smooth solutions via the so-called continuous method and delicate a priori estimates and studied the asymptotic behavior of the solutions.

There are several approaches to the delicate problem of estimating parameters in stochastic differential mixed effects models.

However, one problematic issue is that we here deal with the strong nonlinear term u m in our equation (1.3), making the proof of several required nonlinear estimates somewhat delicate.