Sentence examples for suitable regularity from inspiring English sources

Filling his diaper with suitable regularity?

A priori error estimates are proved from which, under suitable regularity conditions, the linear convergence of the algorithm is derived.

Formal results showing the strong consistency and asymptotic normality of the resulting ML estimators of dynamic latent variable models under suitable regularity conditions were provided by Dunsmuir (1979), who generalised earlier results for Varma models by Dunsmuir and Hannan (1976).

The nonparametric estimator g n of g will be introduced and the usual consistency properties of g n , including mean convergence, uniform mean convergence, convergence in probability, etc., are studied under suitable regularity conditions.

And then by adding a suitable regularity condition on a weight function, we derive and prove a cross-weighted norm inequalities between the Hardy-Littlewood maximal function and the sharp maximal function.

Then under suitable regularity, ((-Delta)^{s}phi) is the Dirichlet-to-Neumann map for this problem, namely frac{1}{k_{s}} -Delta)^{s} -Delta-lim_{yrightarrow 0^{s}phis} partial_{y}tilde{phi}(x,y).

By a microlocal complex scaling constructed using suitable low regularity microlocal weights Sjöstrand [240] similarly localized resonant states to an ( sqrt{h} ) neighbourhood of the trapped set and hence was able to prove bounds of the form (3.54).

Under suitable assumptions of regularity, the RL and GL operators coincides, i.e., D t 0 α RL f ( t ) = GL D t 0 α f ( t ).

We obtain a global existence result under suitable assumptions on the regularity of initial data and the rate function that controls the flow of gas between well and formation.

We here restate in a suitable form the basic regularity properties a priori estimates for solutions to equation in (99); proofs can be for instance found in [18, 21, 51, 55].

Subsequently, they obtained the partial regularity of suitable weak solutions to (1.1) (cf. [6]) and established the same well-posedness theory as in [5] to the full Ericksen-Leslie system with Ginzburg-Landau approximation [7].