A bstract The transverse momentum distribution of the $$ t\overline{t} t ¯ system is both experimental and theoretical interest. In presence azimuthally asymmetric divergences, pursuing resummation at high logarithmic precision rather demanding in general. this paper,...

We prove in the setting of \(Q\)-Ahlfors regular PI-spaces following result: if a domain has uniformly large boundary when measured with respect to \(s\)-dimensional Hausdorff content, then its visible \(t\)-dimensional content for every \(0<t<s\leq Q-1\). The is set points that can be reached by John curve from fixed point \(z_{0}\in \Omega\). This generalizes recent results Koskela-Nand...

We propose that the Baxter Q-operator for the spin-1/2 XXZ quantum spin chain is given by the j → ∞ limit of the transfer matrix with spin-j (i.e., (2j+1)-dimensional) auxiliary space. Applying this observation to the open chain with general (nondiagonal) integrable boundary terms, we obtain from the fusion hierarchy the T -Q relation for generic values (i.e. not roots of unity) of the bulk ani...

We consider an open bounded set Ω ⊂ Rn and a family {K(t)}t≥0 of orthogonal matrices of Rn. Set Ωt = {x ∈Rn; x = K(t)y, for all y ∈Ω}, whose boundary is Γt. We denote by ̂ Q the noncylindrical domain given by ̂ Q =⋃0<t<T{Ωt ×{t}}, with the regular lateral boundary ̂ ∑ = ⋃0<t<T{Γt × {t}}. In this paper we investigate the boundary exact controllability for the linear Schrödinger equation u′ − iΔu= f...

seismic waves travelling through inelastic media are attenuated by the conversion of elastic energy into heat. upon being attenuated, the travelling wave changes: amplitude is reduced, travelling waveform is modified due to high-frequency content absorption, and phase is delayed. attenuation is usually quantified through the quality factor q: the ratio between the energy stored and lost in each...

Some properties of characteristic curves in connection with viscosity solution of Hamilton-Jacobi equations (H,σ) defined by Hopf formula u(t, x) = maxq∈Rn{〈x, q〉 − σ(q) − tH(q)} are studied. We are concerned with the points where the solution u(t, x) is differentiable, and the strip of the formR = (0, t0)×R of the domain Ω where u(t, x) is of class C1(R). Moreover, we investigate the propagati...

In this paper, we consider the existence of multiple periodic solutions for the problem du , . , — +Lu = g(u) + h, r>0, dt "(0) = u(T), where L is a uniformly strongly elliptic operator with domain D(L) = Hjf(Q), g: R —► R is a continuous mapping, T > 0 and h: (0,T) —> HTM(Q.) is a measurable function.

This paper is devoted to investigate the role played by duality in stability analysis of linear time-invariant systems. We seek for a dual statement of a recently developed method for generating stability conditions, which combines Lyapunov stability theory with Finsler’s Lemma. This method, developed in the time domain, is able to generate a set of (primal) equivalent stability tests involving...

In this paper, we study the following nonlinear elliptic problem -div(a(x) ?u) = f (x,u), x ? u H10(?) (P) where is a regular bounded domain in RN, N 2, a(x) positive function and reaction source strongly asymptotically linear sense lim t?+? f(x,t)/t q(x) uniformly ?. We use variant version of Mountain Pass Theorem to prove that has solution for large class (x,t) q(x). Here, existence proved wi...