Sentence examples for propagation estimate from inspiring English sources
The propagation estimate and the decay estimate for the solutions of the problem of (1.1 - 1.2 1.1 - 1.2n establishave
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].
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
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 rate of intercellular ice propagation, estimated from the measured singlet state probability, increased in the first 24 h of culture and remained steady thereafter.
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′.
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
Propagation speed estimate [27].
