Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843667 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 12 Pages |
Abstract
This paper is devoted to investigation of the Cauchy problem for nonlinear equations with a small parameter. They are actually small perturbations of linear elliptic equations in which case the Cauchy problem is ill-posed. To study the Cauchy problem we invoke purely nonlinear methods, such as successive iterations and LqLq Sobolev spaces with large qq. We also discuss linearisable problems.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Ibrahim Ly, Nikolai Tarkhanov,