Sentence examples for flat domains from inspiring English sources
The provided examples include both curved and flat domains.
As we know, the class of Reifenberg flat domains contains the domains with rough fractal boundaries.
In this latter case, atomically flat domains up to 50 nm wide have been observed.
In fact, we start to consider conformal maps between domains in the complex plane, that is, we consider intrinsically flat domains.
We note that an a priori (W^1_q -estimate in Reifenberg flat domains W^1_q -estimate [9], under the condinion that the coefficients have sufficiently small mean oscillations in all diReifenberg
In a subsequent paper, we will study weighted (W^1_q -estimates and the solvability of the Stokes system (1.2) in more general Reifenberg flat domains, W^1_q -estimatesand of coefficienthe
Suppose that Ω is a ((delta, R_{0}))-Reifenberg flat domain.
(2) Suppose that Ω is a ((delta, R_{0}))-Reifenberg flat domain.
A model pseudo-differential equation in a canonical flat domain is reduced to a system of linear difference equations.
The 2-D (x_{1} - x_{2}) Cartesian coordinates is taken over the surface of the sheet, which is identified with a 2-D flat domain Ω as depicted in Figure 2.
This relies on the generalized reverse Hölder inequality first originated from the Gehring-Giaquinta-Modica lemma, and the boundary setting by using the A-condition of ((delta, R_{0}))-Reifenberg flat domain, see Remark 2.4.
