Supported by NSFC(Nos.11401531,11271118);the Natural Science Foundation of Jiangsu Province(No.BK20140965);the Natural Science Foundation of Zhejiang Province(No.LQ17A010010)
supported by Hunan Provincial Natural Science Foundation of China(2016JJ2061);Scientific Research Fund of Hunan Provincial Education Department(15B102);China Postdoctoral Science Foundation(2013M532169,2014T70991);NNSF of China(11671101,11371367,11271118);the Construct Program of the Key Discipline in Hunan Province(201176);the aid program for Science and Technology Innovative Research Team in Higher Education Institutions of Hunan Province(2014207)
In this article, we investigate the initial value problem(IVP) associated with the defocusing nonlinear wave equation on R^2 as follows:{δttu-△u=-u^3 u(0,x)=u0(x),δtu*(0,x)=u1(x,)where the initial data ...
supported by NSFC(No.11371367,No.11271087,No.11211120146,No.11271118);China Postdoctoral Science Foundation(No.2013M532169,No.2014T70991);NSF of Hunan Province(No.11JJ3004);Scientific Research Fund of Hunan Provincial Education Department(No.15B102)
Acknowledgements The author would like to thank professor Huaiyu Jian for his comments and suggestions about this work. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11131005, 11271118, 11301034) and the Doctoral Programme Foundation of Institution of Higher Education of China.
We study the evolution of convex hypersurfaces H(., t) with initial H(., 0) = 0H0 at a rate equal to H - f along its outer normal, where H is the inverse of harmonic mean curvature of H(., t), H0 is a smooth, cl...
This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11171125, 11271118, 91130003), the National Natural Science Foundation of China (Tianyuan Fund for Mathematics, Grant No. 11226170), the Natural Science Foundation of Hunan Province (Grant No. 13JJ4095), the Postdoctoral Foundation of China (Grant No. 20100471182), the Construct Program of the Key Discipline in Hunan Province, and the Key Foundation of Hunan Provincial Education Department (Grant No. 11A043).
We introduce the generalized Jacobi-Gauss-Lobatto interpolation involving the values of functions and their derivatives at the endpoints, which play important roles in the Jacobi pseudospectral methods for high order ...