Sentence examples for behavior at the origin from inspiring English sources

For the boundedness of the commutator operator on function spaces of central nature, one usually looks for a corresponding function class to which the symbol function b belongs and which has BMO-type behavior at the origin.

In this paper, we not only give the asymptotic behavior at the origin for the maximum modulus of weak solutions of the stationary Schrödinger equation in a cone but also obtain the property of the negative parts of them, which generalize the Phragmén-Lindelöf theoremsorems for subfunctions.

We classify all the possible asymptotic behavior at the origin for positive solutions of quasilinear elliptic equations of the form div(|∇u|p−2∇u)= b(x)h u) in Ω∖{0}, where 1

Time simulations carried out on the phenomenological model show the qualitative reproduction of the vibrational behaviors at the origin of these three noise categories.

The ascendant and nonlinear behavior starting at the origin characterizes the fluids, nonNewtonian and pseudoplastic, for these shear conditions [ 31– 31].

The inset magnifies the behavior near the origin.

A reduced mobility of ordinary dislocations may be at the origin of this behavior ( Nakano et al. 2005).

This behavior strongly indicates that oxygen vacancies are at the origin of the defect emissions in the visible region, which supports our analysis above that the defects are due to the oxygen vacancies.

Numerical integrations using physical boundary conditions at the origin confirm this oscillatory behavior of the radial Coulomb wavefunctions.

The existence of strain in the film together with a diminution in the coordination number for adatoms at the edges of the islands are considered to be at the origin of the observed behavior.

The aim of this work is to analyze the mechanisms at the origin of the birhythmic behavior through a theoretical analysis of this differential model.