Sentence examples for more 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.

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

Because of the appearance of electromagnetic potential A ( x ), we must consider our problem for complex-valued functions, and so we need more delicate estimates.

The main method is nontrivial because of both the nonlinearity of (Delta f u)) and more delicate estimates which are necessary to overcome some delicate technical points.

Because of the appearance of magnetic fields A ( x ), we must deal with the problem for complex-valued functions and therefore we need more 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 boundary gradient estimates is more delicate and depends crucially on the geometry of the space.

For estimates (it is more delicate and based on ideas from the geometry Banach spaces) and weak continuity and duality results see [3].

Mr. Landis estimates that the work to the more delicate steeple will cost at least $100,000.

Much more delicate.