Sentence examples for lower regularity from inspiring English sources

For a constrained optimal control problem, the control has lower regularity than the state and the adjoint state.

The definition of the space [ C 1, α ( S 1 ) ] sym 3 is similar to definition 4.2, with the unique difference of the lower regularity.

On the other hand, the PLLA surface shows increased granulation and formation of similar structures to structures on PEEK, but with lower regularity.

For H ∈ ( 0, 1 / 2 ), on account of the lower regularity, it needs the fractional Riemann-Liouville integral to transfer the fractional Brownian motion to be represented in terms of the standard cylindrical Brownian motion.

end{aligned} (1.3) Based on the above observation, the condition (1.3) demands higher time integrability and lower regularity of space than the regularity condition imposed by Zhou and Fan [16].

One of our goals here is to show that the usual reproducing properties of such operators extend to the situation where the data and the generating form have lower regularity.

Violet cones had a slightly lower mean regularity index of ∼6.4.

The lower-level regularity condition for the problem (5.1) is given as follows: ∃ z ˜ : C ( x ∗ ) z ˜ = d ( x ∗ ), z ˜ > 0, k = 1, …, l  and  C ( x ∗ )  has full row rank.

end{aligned} (1.5) is ill-posed for data with lower order Sobolev regularity and in a certain range of the Sobolev regularity, even if the solution exists globally in time, it fails to be smooth.

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.

By lowering the structural regularity of the aromatic diamine, the melting temperature and crystallinity were reduced, however, the elasticity increased.