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Uniqueness Problem for the Backward Differential Equation of a Continuous-State Branching Process: 《Acta Mathematica Sinica,English Series》2024年第8期1825-1836,共12页Pei Sen LI Zeng Hu LI; supported by the National Key R&D Program of China(Grant No.2020YFA0712900);the National Natural Science Foundation of China(Grant No.12271029)。; The distributional properties of a multi-dimensional continuous-state branching process are determined by its cumulant semigroup,which is defined by the backward differential equation.We provide a proof of the asserti...; 关键词：Continuous-state branching process MULTI-DIMENSIONAL backward differential equation stochastic equation generator

Uniqueness on Difference Operators of Meromorphic Functions of Infinite Order: 《Acta Mathematica Sinica,English Series》2024年第2期511-527,共17页Hui LI Ming Liang FANG Xiao YAO; Supported by National Natural Science Foundation of China(Grant Nos.12071047,12171127,11901311);National Key Technologies R&D Program of China(Grant No.2020YFA0713300)。; We investigate the uniqueness problems of meromorphic functions and their difference operators by using a new method.It is proved that if a non-constant meromorphic function f shares a non-zero constant and ∞ countin...; 关键词：UNIQUENESS meromorphic functions difference operators infinite order

P-Laplace Equation for the Grushin Type Operator: 《Acta Mathematica Sinica,English Series》2023年第5期923-938,共16页Ji Zheng HUANG Xin Xin YANG; Supported by the Fundamental Research Funds for the Central Universities(Grant No.500422107)。; Let Gλ,λ>0,be a Grushin type operator on Rn×Rm.In this paper,we will first establish existence and uniqueness for the p-Laplace equation for Gλ,then we prove the regularity of solutions.In order to prove our resul...; 关键词：solutions. INEQUALITY UNIQUENESS

Free Boundary Problems with Local-nonlocal Diffusions and Different Free Boundaries Ⅰ: Global Solution: 《Acta Mathematica Sinica,English Series》2022年第12期2265-2284,共20页Xiu DONG Jian Ping WANG Ming Xin WANG; Supported by NSFC Grants(Grant Nos.12171120,11971128)。; We investigate a class of ecological models with local-nonlocal diffusions and different free boundaries.This is PartⅠof a two-part series,in which the existence,uniqueness,regularity and estimates of global solution...; 关键词：Local-nonlocal diffusions different free boundaries existence-uniqueness global solution

The Uniqueness of Knieper Measure on Non-compact Rank 1 Manifolds of Non-positive Curvature: 《Acta Mathematica Sinica,English Series》2021年第8期1219-1228,共10页Fei LIU Fang WANG; supported by Natural Science Foundation of Shandong Province(Grant No.ZR2020MA017);partially supported by NSFC(Grant No.11871045).; We study the Knieper measures of the geodesic flows on non-compact rank 1 manifolds of non-positive curvature.We construct the Busemann density on the ideal boundary,and prove that if there is a Knieper measure on T^(...; 关键词：Geodesic flows Patterson-Sullivan measure Knieper measure

Unconditional Uniqueness of Solution for Hsc Critical 4th Order NLS in High Dimensions: 《Acta Mathematica Sinica,English Series》2018年第6期1028-1036,共9页Chao LU Jing LU; Supported by China Postdoctoral Science Foundation(Grant No.2017M620660); In this paper, we study the unconditional uniqueness of solution for the Cauchy problem of H^·^Sc（0≤Sc〈2） critical nonlinear fourth-order Schrodinger equations iδtu＋Δ^2u-εu=λ｜u｜^αu.By employing paraproduc...; 关键词：Unconditional uniqueness paraproduct estimates Besov spaces fourth order nonlinear Schrodinger equation

On the Existence, Uniqueness and Stability of Solutions for Semi-linear Generalized Elasticity Equation with General Damping Term: 《Acta Mathematica Sinica,English Series》2017年第11期1549-1564,共16页Abita RAHMOUNE; In this paper, we consider a semi-linear generalized hyperbolic boundary value problem associated to the linear elastic equations with general damping term and nonlinearities of variable exponent type. Under suitable ...; 关键词：Generalized semi-linear elasticity equation nonlinear internal stabilization generalized Lebesgue space Sobolev spaces with variable exponents

Existence,Uniqueness and Asymptotic Behavior for the Vlasov–Poisson System with Radiation Damping被引量：1: 《Acta Mathematica Sinica,English Series》2017年第5期635-656,共22页Jing CHEN Xian Wen ZHANG Ran GAO; We investigate the Cauchy problem for the Vlasov–Poisson system with radiation damping.By virtue of energy estimate and a refined velocity average lemma, we establish the global existence of nonnegative weak solution...; 关键词：Vlasov–Poisson system radiation damping velocity averages weak solution UNIQUENESS

Uniqueness and Least Energy Property for Solutions to a Strongly Coupled Elliptic System被引量：1: 《Acta Mathematica Sinica,English Series》2017年第3期419-438,共20页Shan ZHANG Ling ZHOU Zu Han LIU; Supported by PRC grant NSFC(Grant Nos.11371310,11401515); For the strongly coupled system of M ≥ 3 competing species：-△[（di＋∑j=1^Mβijuj）ui]=（ai-bi）ui-kui∑j≠iui,i=1,…,M,we prove the uniqueness of the limiting configuration as k →∞ under suitable conditions. Mor...; 关键词：Strongly coupled elliptic system UNIQUENESS spatial segregation

Quantitative Properties on the Steady States to a Schr?dinger-Poisson-Slater System被引量：1: 《Acta Mathematica Sinica,English Series》2015年第12期1845-1856,共12页Chang-Lin XIANG; Supported by the Academy of Finland,project 259224; In this paper,we obtain the existence,uniqueness and asymptotic behavior of steady states to a class of Schr？dinger-Poisson-Slater System.; 关键词：Schrodinger-Poisson-Slater system existence UNIQUENESS asymptotic behavior

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