Sentence examples for potential belonging from inspiring English sources

We prove an optimal dispersive L∞ decay estimate for a three-dimensional wave equation perturbed with a large nonsmooth potential belonging to a particular Kato class.

In this paper, we consider the Schrödinger differential operator (L=-Delta +V) on (mathbb{R}^{n}), (ngeq3), where V is a nonnegative potential belonging to the reverse Hölder class (B_{s}), (sgeqfrac {n}{2}), which is defined as follows.

In this paper, we consider the Schrödinger differential operator begin{aligned} L=-Delta+V x quad mbox{on } {mathbb{R}^{n}}, n geq3, end{aL=-Delta+V x quadx)) is a non-negative potential belonging to the reverse Hölder class (mbox{onRH}_{mathbb{R}^{n}}n/2).

Let L = − Δ + V be a Schrödinger operator on R d, d ≥ 3, where V ≠ 0 is a nonnegative potential belonging to a reverse Hölder class R H q for q > d / 2. Let b ∈ B M O ∞ , which is larger than the space B M O ( R d ).

We establish higher-order Fefferman-Poincaré type inequalities with a potential belonging to an appropriate higher-order Stummel-Kato type class introduced in this paper.

Species with high plant decay potential belonging to Longidoridae, Heteroderidae, Hoplolaimidae, Meloidogynidae, Paratylenchidae and Pratylenchidae are present in the argan forest.

Calcium phosphates with negative zeta potential belong to a type of materials favoring apatite nucleation, bone regeneration, as well as osseointegration.

Modeling the spike train data as threshold crossings of the underlying diffusion process representing the unobserved membrane potential belongs to the so-called first-passage time problem [32, 33].

The present formalism affords an extension toward such models, where the neuron fires whenever its membrane potential belongs to a region of the phase space, which can be delimited by membrane potentials plus additional variables such as adaptation currents or activation-inactivation variables, and where the spike is controlled by the global dynamics of all these variables.

As applications, we establish the boundedness of some Schrödinger type operators on generalized Morrey spaces related to certain nonnegative potentials belonging to the reverse Hölder class.

In this paper, we establish the boundedness for the operator T ∗ and its commutator on the weighted Morrey spaces L α, V, ω p, λ ( R n ) related to certain nonnegative potentials belonging to the reverse Hölder class B q for n / 2 ≤ q < n, where p 0 ′ < p < ∞ and 1 p 0 = 1 q − 1 n.