Sentence examples for between the hyperbolic operator from inspiring English sources

It is another way to view the possible interpolations between the hyperbolic operator of the wave equation and the parabolic one of the classical diffusion equation.

The method of the hyperbolic operator is one of the Tauberian methods proposed by T. Carleman.

Also note that proofs in Sect. 4 require that the hyperbolic operators are formally self-adjoint.

A quasi-hyperbolic operator can be characterised by a simple spectral property or as the restriction of a hyperbolic operator to an invariant subspace.

We consider the hyperbolic Casimir operator C defined on the tangent sphere bundle SY of a compact hyperbolic Riemann surface Y.

We investigate numerically the subtle competition that takes place between the hyperbolic, diffusive, and dispersive parts of the system.

Equation 10 is the developed relationship between the hyperbolic exponent and the reservoir and well properties.

In [10], for a different class of hyperbolic second order operators some energy estimates are established and the (C^{infty}) well-posedness of the Cauchy problem for non-effectively hyperbolic operators is studied.

Moreover, Carleman estimates are obtained for non-effectively hyperbolic operators.

We introduce the notion of quasi-hyperbolic operators and C0-semigroups.

Preliminary numerical experiments suggest that the hyperbolic cross versions of the operators considered in [14] (or our operators for that matter) are not localized.