supported by National Natural Science Foundation of China (Grant Nos. 91730101 and 11831015)
Predictive modeling of the evolutionary dynamics of cancer is a challenging issue in computational cancer biology. In this paper, we propose a general mathematical model framework for the evolutionary dynamics of canc...
supported by National Natural Science Foundation of China(Grant Nos.11421110002,11531005 and 11501102);National Science Foundation of Jiangsu Province(Grant No.BK20150594)
Consider the reconstruction of the complex refraction index of an object, which is immersed in a known homogeneous background, from the knowledge of scattered waves of the point sources outside of the object. We first...
We study positive solutions of the following polyharmonic equation with Hardy weights associated to Navier boundary conditions on a half space:where rn is any positive integer satisfying 0 〈 2m 〈 n. We first prove ...
supported by the US Army Ofce of Research(Grant No.W911NF11-1-0364);the National Science Foundation of USA(Grant No.DMS-1005441);National Natural Science Foundation of China(Grant No.91230105)
The paper presents a new fast integral equation solver for Maxwell's equations in 3-D layered media. First, the spectral domain dyadic Green's function is derived, and the 0-th and the 1-st order Hankel transforms o...
supported by National National Science Foundation of China for Distinguished Young Scholars (Grant No. 10925104);National National Science Foundation of China (Grant No.11101319);the Foundation of Shaanxi Province Education Department (Grant No. 2010JK549)
Consider the system with three-component integral equations{u(x) :fRn│x - y│α-nw(y)^v(y)^qdy,v(x) =fRn│x-y│^α-nu(y)^pw(y)^rdy, w(x) =fRn│x - y│α-nv(y)qu(y)Pdy,where 0 〈 a 〈 n, n is a posi...
supported by the President Fund of GUCAS and the US National Science Foundation (Grant No.CCR-0407476,DMS-0712827);National Natural Science Foundation of China(Grant No.10371122,10631080)
We propose a fully discrete fast Fourier-Galerkin method for solving an integral equation of the first kind with a logarithmic kernel on a smooth open arc,which is a reformulation of the Dirichlet problem of the Lapla...
the National Natural Sciente Foundation of China (Grant Nos. 10771021, 10471012);Scientific Research Foundation for Returned Scholars, Ministry of Education of China (Grant No. [2005]564)
We consider an age-dependent branching process in random environments. The environments are represented by a stationary and ergodic sequence ξ = (ξ 0, ξ 1,…) of random variables. Given an environment ξ, the proce...