Sentence examples for evolution operators with from inspiring English sources

Motivated by the celebrated example of Y. Kannai of a linear partial differential operator which is hypoelliptic but not locally solvable, we consider a class of evolution operators with real-analytic coefficients and study their local solvability both in L2 and in the weak sense.

The FVEG methods couple a finite volume formulation with evolution operators.

The operator is called impulsive evolution operator associated with and.

we start defining the evolution operator associated with the family A t), t ∈ [0. b].

The second step consists in decomposing the evolution operator associated with H via a Trotter expansion.

The following lemma on the properties of the impulsive evolution operator associated with and is widely used in this paper.

The evolution operator associated with the Hamiltonian in Eq. (4) can be expressed in terms of (exp( -i phisigma^{z} otimessigma^{z} )) interactions.

Suppose that f(x) is the macrostate of the system for some chosen initial time, and let Tt be the time evolution operator associated with the Hamiltonian for the system, which governs its time evolution from the initial time to some other time t.

The discontinuous evolution Galerkin (DEG) method couples a discontinuous Galerkin formulation with approximate evolution operators.

These methods couple a finite volume formulation with approximate evolution operators.

The FVEG methods couple a finite volume formulation with approximate evolution operators.