In this article,we study the exhaustive analysis of nonlinear wave interactions for a 2×2 homogeneous system of quasilinear hyperbolic partial differential equations(PDEs)governing the macroscopic production.We use the hodograph transformation and differe
This paper is concerned with the Fisher-KPP equation with diffusion and non-local delay.Firstly,we establish the global existence and uniform boundedness of sol
设A是含单位元I的C*-代数,Φ:A→A是满射.本文证明Φ强保k-skew 交换性,即*[Φ(A),Φ(B)]k=*[A,B]k,■A,B ∈ A 当且仅当Φ(A)=Φ(I)A,■A ∈ A,其中Φ(I)∈L(A),Φ(I)*=Φ(I),Φ(I)k+1=I,L(A)是 A 的中心.特别地,若L(A)=CI,则Φ:A→A强保k-skew交换性当且仅当Φ(A)=A,■A ∈A或Φ(A)=-A,VA ∈A.若k是偶数,后一种情形不会出现.
In this paper,we consider the measure determined by a fractional Ornstein-Uhlenbeck process.For such a measure,we establish an explicit form of the martingale r
The reflection of a weak shock wave is considered using a shock polar.We present a sufficient condition under which the von Neumann paradox appears for the Eule
本文研究沿实解析子流形的粗糙核Marcinkiewicz积分的Lp映射性质,假设径向核h∈Δγ(R+)(γ∈(1,∞])与球面核Ω∈Lq(Sn-1)(q∈(1,2]),建立了这类算子的Lp有界性.而且,通过外插的方法,在一些最佳的球面尺寸条件Ω∈L(logL)1/2(Sn-1)或Ω∈Bq(0,-1/2)(Sn-1)(q>1)下,获得了相应的Lp界.与此同时,也考虑了相关极大粗糙核Marcinkiewicz积分的Lp估计.
本文主要讨论单位圆盘上指数权Bergman空间A
φp和A
φ∞(0<p<∞)之间由正Borel测度μ所诱导的Toeplitz算子T
μ,借助Berezin变换和平均函数刻画该类算子的有界性和紧性.
In this paper,we show that,on the Dirichlet-type space of unit disk,the essential norm of a noncompact Toeplitz operator equals its distance to the set of compact Toeplitz operators,and moreover,this distance is realized by infinitely many compact Toeplit
This paper considers the inverse acoustic wave scattering by a bounded penetra-ble obstacle with a conductive boundary condition.We will show that the penetrabl
Let f be a twice continuously differentiable self-mapping of a unit disk satisfying Poisson differential inequality |△f(z)|≤B·|Df(z)|2 for some B＞0 and f(0)=