Sentence examples for propagation estimates from inspiring English sources

Peterson or Topper-like expressions are then calibrated to q based on these crack propagation estimates.

For this purpose, we need to establish the propagation estimates and the space-time decay estimates for the solutions first.

The key propagation estimate used by Vasy [263] comes from the work of Melrose on propagation estimates at radial points occurring in scattering on asymptotically Euclidean spaces [183].

We show that this probability goes to zero with time, using propagation estimates suitably multi-scaled to control the contribution of low frequencies.

In this work, we establish precise microlocalized propagation estimates in three-body problems and give a proof for the asymptotic completeness of waves operators in three-body long range scattering for a class of long range potentials of the form Va xa) = V(1)a xa) + V(2)a xa) with V(1)a ≥ 0 decaying like O(|xa| −ϵ′) for some ϵ′ > 1/2 and V(2)a decaying like O(|xa| −γ) for some γ > 2(1 − ϵ′)/ϵ′.

Propagation estimate.

The propagation estimate and the decay estimate for the solutions of the problem of (1.1 - 1.2 1.1 - 1.2n establishave

The rate of intercellular ice propagation, estimated from the measured singlet state probability, increased in the first 24 h of culture and remained steady thereafter.

To overcome the difficulties caused by the degeneracy and nonlinearity of this equation, we first establish the propagation estimate and the decay estimate for the solutions of the problem of (1.1 - 1.2 1.1 - 1.2

Section 3 is devoted to giving the propagation speed estimate and decay estimate for the solutions of problem (1.1 - 1.2 1.1 - 1.2

Another variant of the MUSIC algorithm called Temporal-MUSIC (T-MUSIC) offers propagation delay estimates.