Original Research
HP estimation for the Cauchy problem for nonlinear elliptic equation
- University of Science, VNU- HCM Ho Chi Minh City Industry and Trade College
Correspondence to:
Thang Duc Le,
University of Science, VNU- HCM Ho Chi Minh City Industry and Trade College.
Email:
pvphuc@vnuhcm.edu.vn.
Published:
2018-11-29
Abstract
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.