supported by the National Natural Science Foundation of China(No.11971144);the State Contract of the Sobolev Institute of Mathematics;SB RAS(No.I.1.5,FWNF-2022-0009);the High-level Scientific Research Foundation of Hebei Province;the Start-up Research Fund from Yanqi Lake Beijing Institute of Mathematical Sciences and Applications。
In this article the authors prove theorem on Lifting for the set of virtual pure braid groups.This theorem says that if they know presentation of virtual pure braid group V P_(4),then they can find presentation of V P...
supported by the National Natural Science Foundation of China(Nos.12271277,11771270,11801326,91730303);the Japan Society for the Promotion of Science(Nos.20H00117,20F20319);A3 Foresight Program“Modeling and Computation of Applied Inverse Problems”of Japan Society for the Promotion of Science and the Research Institute for Mathematical Sciences,an International Joint Usage/Research Center located in Kyoto University。
In this paper,the authors study the well-posedness and the asymptotic estimate of solution for a mixed-order time-fractional diffusion equation in a bounded domain subject to the homogeneous Dirichlet boundary conditi...
supported by the National Natural Science Foundation of China(Nos.12326603,11601281,11501325);the National Key R&D Program of China(No.2018YFA0703900);the Natural Science Foundation of Shandong Province(No.ZR2021MA018);the Social Science Planning Project of Shandong Province(No.24CJJJ18);the Qilu Scholars Program of Shandong University。
In this paper,the authors firstly establish the weak laws of large numbers on the canonical space(R^(N),B(R^(N)))by traditional truncation method and Chebyshev’s inequality as in the classical probability theory.Then...
supported by the National Natural Science Foundation of China(No.11561048);the Natural Science Foundation of Inner Mongolia(No.2023MS01011)。
Let B(X)be the algebra of all bounded linear operators on a Hilbert space X.Consider an operator polynomial P(λ)=A_(m)λ^(m)+A_(m-1)λ^(m-1)+……-+A_(0),where Ai∈B(X),i=0,1,…,m.The numerical range of P(λ)is define...
1 The Chinese Annals of Mathematics(CAM)is a comprehensive mathematical journal carrying original papers on pure and applied mathematics.CAM Series B(English series)is published bimonthly jointly by the Editorial Offi...
supported by the National Natural Science Foundation of China (No. 11925101);the National Key R&D Program of China (No. 2020YFA0712800)。
Surface bundles arising from periodic mapping classes may sometimes have non-isomorphic, but profinitely isomorphic fundamental groups. Pairs of this kind have been discovered by Hempel. This paper exhibits examples o...
Abstract Let K be a given positive function on a bounded domain Ω of R^(n),n≥3.The authors consider a nonlinear variational problem of the form:-Δu=K|u|^(4/n-2)u in Ω with mixed Dirichlet-Neumann boundary conditio...
supported by the National Key Research and Development Project(No.SQ2020YFA070080);the National Natural Science Foundation of China(No.12001511);the Project of Stable Support for Youth Team in Basic Research Field CAS(No.YSBR-001);the Project of Analysis and Geometry on Bundles of the Ministry of Science and Technology of China and the Fundamental Research Funds for the Central Universities。
Let X be a complex smooth quasi-projective variety with a fixed epimorphism ν:π_(1)(X)■H,where H is a finitely generated abelian group with rank H≥1.In this paper,the authors study the asymptotic behaviour of Bett...
supported by the National Natural Science Foundation of China(No.11971262);Shandong Province Natural Science Foundation(No.ZR2019MA038,ZR2024QA088)。
Abstract In the paper,a concept of the essential numerical range W_(e)(T)of a linear relation T in a Hilbert space is given,other various essential numerical ranges W_(ei)(T),i=1,2,3,4,are introduced,and relationships...