partially supported by the National Key Research Program of China(2021YFA1400602 and 2023YFA1407600);the National Natural Science Foundation of China(12004284,12274325,and 12374294);the Shanghai Chenguang Plan(21CGA22)(H.C.&Z.W.G.);support from the Beijing Natural Science Foundation(Z240005);National Natural Science Foundation of China(12474027)。
Subwavelength-scale manipulation of electromagnetic waves forms the cornerstone of next-generation photonic devices and quantum information processing[1],where extensive efforts have focused on momentum-frequency disp...
Using the component Lyapunov functions and critical point theory, the theorem of exis tence and uniqueness of hyperbolic periodic solution for a class of Hamiltonian systems is
CMC-H surfaces satisfying H≥1 are studied. It is proved that these surfaces possess a natural representation which is a generalization of the Bryant’s result.
SUPERPROCESS is one kind of measure-valued branching Markov processes. In the recentdecades many results of superprocesses on Euclidean spaces and on general abstract spaces havebeen obtained, but there is only little...
Project supported by the National Natural Science Foundation of China.
In this note the Cauchy problem of quasilinear hyperbolic system will be discussed U_t+F(U)_x+G(U)_y=0, (1)where U=~t(u, v), F=~t(u^2, uv), G=~t(uv, v^2). The system is nonstrictly hyperbolic andpossibly arises in som...
Modular forms with weight of r(≥2) were studied in many articles. But for the case of r≤2, there are a large number of fundamental problems which need to be studied. One of these is the existence of Poincare serie...
Recently, Kreith, Kusano and Yoshida have studied the oscillation property of the hyperbolic equation u11-△u+c(t,x,u)=f(t,x), (t,x)∈R+×Ωwith boundary condition (?)u/(?)n=g(t,x), ...
This is a brief account of a study leading to the following result: Theorem. For any finite polyhedron K with curvature<0, Wh (π1k×zi)=0, i≥0. The study is related to the following theori...
This note is devoted to the discussion of n-dimensional elastic body. Suppose Ω is a bounded, regular, connected open subset of R^n; (1≤k≤K) are the connected components of, the boundary of Ω; r is the unit outwar...