riemann-hilbert方法deift zhou非线性速降及其应用

报告内初值问题求解非标准的RH方初边值求解Fokas方长时间渐近行为RH方法/Deift-Zhou非线性速降RH方法/Deift-Zhou非线性速降四、随机矩阵与RH方法/Deift-Zhou非线性速降五、聚焦NLS初值问题解的长时间渐近Riemann-Hilbert问题与Riemannmonodromy问题有关，1851年，首先由Riemann引入.1900年，在国际数学家大会上，Hilbert将Riemannmonodromy归为现今流行的Riemann-Hilbert问题,即Hilbert所提23个问题的第21问题：具有给定奇点和单值群的Fuchs类线性微分方解的存在性

dy i1x1908年，Plemelj将Riemann-Hilbert问题转化为奇异积分方程问 ，Bliru在解决Riemann-Hibe问题RHP学的强有力的分析工具Riem-Hileei-u非线性速降法Riemann-Hilbert方法在可积系统中的最大受益者：非线性程初值问题解的整体渐近分 RiemanHile粗略地讲，Riemann-Hilbert问题就是在复平面上寻找一个在定曲线上具有特Beals-Cofiman理论：Riemann-HilbertProblem可解 YangJianke, 关的1+1维和2 J.Lenells,TheDegasperis-Procesiequationonthehalf-line, .(2013),122--XuJian,FanEngui,TheunifiedmethodfortheSasa-Satsumaequationonhalf-line,ProcRoyalSocA, JianXu,EnguiFan,Thethree-waveequationonthehalf-line,PhysicsLettersA378AS.UniversityofBoundaryValueProblems、InverseProblemsysis、FluidMechanics、Complex 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