Sentence examples for mean oscillation coefficients from inspiring English sources

In this paper, maximal regularity properties for linear and nonlinear elliptic differential-operator equations with VMO (vanishing mean oscillation) coefficients are studied.

The aim of this paper is to establish regularity for weak solutions to the nondiagonal quasilinear degenerate elliptic systems related to Hörmander's vector fields, where the coefficients are bounded with vanishing mean oscillation.

Every function having bounded mean oscillation (BMO) on the line is written as a sum of coefficients times normalized rational functions with the coefficients satisfying a Carleson measure packing condition.

The coefficients are assumed to have small bounded mean oscillation (BMO) seminorms.

If the coefficients of an -Dirac solution are of bounded mean oscillation, local Hölder continuous, or of a certain local order of growth, then is in an appropriate oscillation class; see [9].

If the coefficients of an A-Dirac solution u are of bounded mean oscillation, local Hölder continuous, or of a certain local order of growth, then u is in an appropriate oscillation class [8].

We prove the H1p solvability of second order parabolic equations in divergence form with leading coefficients aij measurable in (t,x1) and having small BMO (bounded mean oscillation) semi-norms in the other variables.

Here BMO denotes the space of bounded mean oscillation.

end{aligned}We first derive the following mean oscillation estimate.

Further,, the analytic functions of bounded mean oscillation.

Moreover, (A x)) has a small mean oscillation in the flat direction near the boundary.