HP estimation for the Cauchy problem for nonlinear elliptic equation
2018 ◽
Vol 1
(T5)
◽
pp. 193-202
Keyword(s):
In this paper, we investigate the Cauchy problem for a ND nonlinear elliptic equation in a bounded domain. As we know, the problem is severely ill-posed. We apply the Fourier truncation method to regularize the problem. Error estimates between the regularized solution and the exact solution are established in Hp space under some priori assumptions on the exact solution.