This is done here by esorting to a shape sensitivity approach, considering a particular class of infinitesimal domain perturbations that 'move' individual points, and especially the singular point, but leave the initial domain globally unchanged. This somewhat indirect strategy provides a proper ...
Then, {x(Ω, t), tε[0, 1]} is a Wiener process, and stochastic integrals of the form ∫01φ (ω,t)dx(ω,t) can be defined for a suitable class of ϕ. In this paper we consider a sequence of Stieltjes integrals of the form In=∫01φ (ωn(ω),t)dx(ωn(ω),t) ...
energy regime, which corresponds to the point of maximal unipotent monodromy, is determined by a novel Γ^-class evaluation in the ambient spaces of the mirror, while the imaginary part of the integral in this regime is determined by the Γ^-class of the mirror Calabi-Yau manifold itself....
Also for a particular class of shape invariant systems, we generate 2-dimensional superintegrable systems. This class contains the harmonic oscillator, the singular harmonic oscil- lator, and their supersymmetric isospectral deformations. The paper is presented as follows: in Section 2, we review how...
Numerical schemes for a class of tempered fractional integro-differential equations Appl Numer Math, 157 (2020), pp. 110-134 View PDFView articleView in ScopusGoogle Scholar [4] Gülşen S., Yao S.-W., Inc M. Lie symmetry analysis, conservation laws, power series solutions, and convergence...
= the class if all bounded progressively measurable processes such that (9.1) holds L ∗ = T≥0 L ∗ T . L ∗ T bounded . Remark 9.10. For any process H ∈ L ∗ T , there exists a sequence of simple processes H (n) such that (9.2) holds. By Lemma 9.6 and Equation (...
(b) Suppose in part (a) we replace the Dini class by a Lipschitz class of some positive order. Then \\H * f\\p < Cp\\f\\p, 1 < p < oo. At this point, we would like to remark that in this work, we were very much ...
In this paper we describe numerical investigations of definite integrals that arise by considering the moments of multi-step uniform random walks in the plane, together with a closely related class of integrals involving the elliptic functions K, K′, E and E′. We find that in many cases ...
(A.3) 12If it could be anomalous, we would restrict only to the class of such Φ that generate non-anomalous symmetries. However, it is believed that symplectomorphisms are non-anomalous in quantum mechanics, whereas covariance with respect to more general diffeomorphism can be broken by the...
Then (~ ( f _ f(i,))2 dt)l/2 > C-12-n/ef(2-n- 1). In Let n' be the next number in S after n. By the definition of S, we have (4.4) Therefore f(2-k-1)<2(k-,)/~f(2 ,-1) for nl. For t>l, let p(t)=p(1). The following proposition describes the Lv ...