PDFファイル 4C1 「推論・探索」

(54) Further, in order to apply the Poisson summation formula and the saddle point method later, we consider to restrict ∆ ′′ 0 to ∆ ′ 0 of the following lemma; we will use

In this paper, by employing a functional inequality introduced in [5], which is an abstract generalization of the classical Jessen’s inequality [10], we further establish the

Recently, Velin [44, 45], employing the fibering method, proved the existence of multiple positive solutions for a class of (p, q)-gradient elliptic systems including systems

We prove Levy’s Theorem for a new class of functions taking values from a dual space and we obtain almost sure strong convergence of martingales and mils satisfying various

For instance, Racke & Zheng [21] show the existence and uniqueness of a global solution to the Cahn-Hilliard equation with dynamic boundary conditions, and later Pruss, Racke

Specifically, restricting attention to traveling wave solutions of the relaxation model (1.3), the first-order approximation (1.4), and the associated second-order approximation

Xiang; The regularity criterion of the weak solution to the 3D viscous Boussinesq equations in Besov spaces, Math.. Zheng; Regularity criteria of the 3D Boussinesq equations in

The commutative case is treated in chapter I, where we recall the notions of a privileged exponent of a polynomial or a power series with respect to a convenient ordering,