Sentence examples similar to satisfying uniform from inspiring English sources

Theorem 2.6 Let the following conditions be satisfied 1. E is a Banach space satisfying the uniform multiplier condition, p ∈ ( 1, ∞ ) and 0 < h ≤ h 0 < ∞ are certain parameters;   2.

Suppose E is a Banach space satisfying the uniform multiplier condition.

Let E be a Banach space satisfying the uniform multiplier condition.

Let be a domain in satisfying the uniform -regularity condition, and suppose that there exists a simple -extension operator for.

The first one, proved in [73], deals with sets satisfying a uniform interior cone condition at the boundary.

A family of processes { U σ ( t, τ ) }, σ ∈ Σ, is said to be satisfying the uniform (w.r.t.

where the discontinuous coefficients a α β are bounded and measurable functions satisfying the uniform ellipticity condition.

However, Ω can be more general, such as unbounded domains satisfying the uniform C m -regularity condition (p.84 in [3]).

A substantial part of this analysis applies to bounded semiconvex domains (i.e., Lipschitz domains satisfying a uniform exterior ball condition).

Suppose that E is a Banach space satisfying the uniform multiplier condition, and A is a uniformly R positive operator in E.

In this paper we investigate continuity properties of first and second order shape derivatives of functionals depending on second order elliptic PDEs around nonsmooth domains, essentially either Lipschitz or convex, or satisfying a uniform exterior ball condition.