王保祥(北京大學數學科學學院教授)

王保祥(北京大學數學科學學院教授)

北京大學數學科學學院 教授

職稱:教授
所在部門:微分方程教研室
教育經歷
1993 中科院工程物理所 博士
工作經歷
2002- 北京大學數學科學學院 教授
1997-2002 河北大學數學與信息科學學院 教授
1995-1997 河北大學數學與信息科學學院 副教授
1994-1995 河北大學數學與信息科學學院 講師
代表作
1.Isometric decomposition operators, function spaces E^lambda_{p,q} and applications to nonlinear evolution equations, J. of Funct. Anal., 233 (2006), 1--39 (with Zhao L ang Guo B)
2. Concentration phenomenon for the L^2 critical and super critical nonlinear Schrodinger equations in energy spaces, Commun. Contemp. Math. 8(2006), 309--330
3.The limit behavior of solutions for the complex Ginzburg-Landau equation,Commun.on Pure Appl. Math., (2002) 55, no.4, 481-508.
4.Large time behavior of solutions for critical and subcritical complex Ginzburg-Landau equations in , Science in China (Ser A), 46 (2003), 64-74.
5.On the duality mapping sets in abstract M spaces, Indag. Mathem.13(2002),1-9. (joint with H. Hudzik)
6.The Cauchy problem for Davey—Stewartson systems,Comm.on Pure Appl. Math. (1999) 52, 1477--1490. (joint with B. Guo)
7.On existence and scattering for critical and subcritical nonlinear Klein—Gordon equations in Hs, Nonlinear Anal. TMA , (1998) 31, 573—587.
6.Support functionals and smooth points in abstract M spaces , Proc.Amer.Math. Soc.,(1999) 127, 1761—1770 (joint with T.Wang)
7.Scattering of solutions for critical and subcritical nonlinear Klein--Gordon equations in,Disc. Cont. Dyn. Sys. (1999) 5, 753—763.
8.Approximative compactness in Orlicz spaces, J.of Approx.Theor.(1998),95, 82--89. (joint with H. Hudzik)
9.On weakly convergent sequence in Banach function spaces and the initial boundary problem for nonlinear Klein--Gordon--Schrodinger equations, Math. Meth. in the Appl. Sci. (2000) 23, 1655-1665
10.On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems, Science in China (Series A),(2001)44, No.8 (joint with B. Guo)
11.The smoothness of scattering operators for Sinh-Gordon and Nonlinear Schrodinger equations, Acta Mathematica Sinica, English Series,2002,18, 549-564.
12.The Global Cauchy problem and scattering of solutions for Nonlinear Schrodinger equations in, Differential and Integral Equations, (2002) 15, No.9, 1073-1083.
13.Bessel (Riesz) potential on Banach function spaces and their applications (II), On solutions for a class of nonlinear evolution equations,Nonlinear Analysis, TMA (2001), 47(2001,4283-4294
14.Bessel (Riesz) potentials on Banach function spaces and their applications I Theory,Acta Math.Sinica,(1998) 14, no. 3, 327—340
15.Lambda-coefficient of Orlicz sequence spaces,Colloq. Math. 59 (1995), 179--186.
16.On the convexity characteristic of Orlicz spaces,Math. Japonica ,37(1992), 691--699.
17.The inviscid limit for the derivative NLS equation, J.Math.Pure Appl. 83(2004) no. 4, 477-502 (joint with Y. Wang)
18.Exponential Besov spaces and their applications to nonlinear evolutions with dissipation., Comm on Pure Appl Anal. 3 (2004), 883--919.
19. Wang, Baoxiang; Hao, Chengchun; Hudzik, Henryk Energy scattering theory for the nonlinear Schr?dinger equations with exponential growth in lower spatial dimensions. J. Differential Equations 228 (2006), no. 1, 311--338.
20. Wang, Baoxiang; Hudzik, Henryk The global Cauchy problem for the NLS and NLKG with small rough data. J. Differential Equations 232 (2007), no. 1, 36--73.
21. Wang, Baoxiang; Huang, Chunyan Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations. J. Differential Equations 239 (2007), no. 1, 213--250.
22. Huang, Chunyan; Wang, Baoxiang Inviscid limit for the energy-critical complex Ginzburg-Landau equation. J. Funct. Anal. 255 (2008), no. 3, 681--725.
23. Han, Lijia; Wang, Baoxiang Global wellposedness and limit behavior for the generalized finite-depth-fluid equation with small data in critical Besov spaces $\\dot B{}\\sp s\\sb {2,1}$. J. Differential Equations 245 (2008), no. 8, 2103--2144.
24. Guo, Zihua; Peng, Lizhong; Wang, Baoxiang Decay estimates for a class of wave equations. J. Funct. Anal. 254 (2008), no. 6, 1642--1660.
科研項目
2003,1-2005,12 Banach函式空間上的Bessel位勢及其在PDE的套用 國家自然科學基金
2000,1-2002,12 非線性項含有導數的幾個發展方程的初值問題 國家自然科學基金(青年)
主講課程
2002,9-2004,1 高等數學(B) 電子與元培計畫本科

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