例句與造句

1. It is smooth on away from 0 by elliptic regularity.
2. Elliptic regularity implies that their solutions tend to be smooth functions ( if the coefficients in the operator are smooth ).
3. Giaquinta is well known for his basic work in elliptic regularity theory, and especially in the setting of vectorial variational problems.
4. One of the simplest classical Lie algebraic arguments is to note that, since ? is an elliptic operator with analytic coefficients, by analytic elliptic regularity any eigenfunction is necessarily real analytic.
5. When " analytic " is replaced by " smooth " in this theorem, the result is just Hermann Weyl's classical lemma on elliptic regularity, usually proved using Sobolev spaces ( Warner 1983 ).
6. It's difficult to find elliptic regularity in a sentence. 用elliptic regularity造句挺難的
7. In, he presented his method of orthogonal projection which has been adopted in the presentation above, following, but with the theory of Sobolev spaces on "'T "'2 used to prove elliptic regularity without using measure theory.
8. In this case elliptic regularity can be deduced directly from the fact that ( \ pi z ) ^ {-1 } is known to provide a fundamental solution for the Cauchy-Riemann operator \ partial / \ partial \ overline { z }.
9. The function " ?u " } } and ( 1  " " ? " ) " u " } } are treated separately, being essentially subject to usual elliptic regularity considerations for interior points while requires special treatment near the boundary using difference quotients.
10. He gained particular attention with his work on  Analysis on local Dirichlet spaces, 1993-1995, where he introduced geometric concepts for the investigation of stochastic processes and carried over methods from elliptic regularity theory to singular operators on abstract spaces, as well as with his pioneering work on synthetic Ricci bounds for metric measure spaces.
11. Standard Sobolev theory for can be applied to : elliptic regularity implies that it lies in and hence . ( 1  " " ? " ) " u " } } lies in } } of a collar, diffeomorphic to an annulus, so it suffices to prove the result with a collar and replaced by
12. The operator \ bar \ partial _ { j, J } is Banach manifolds, and using elliptic regularity to recover smoothness ) one can show that, for a generic choice of \ omega-tame J and perturbation \ nu, the set of ( j, J, \ nu )-holomorphic curves of genus g with n marked points that represent the class A forms a smooth, oriented orbifold