Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897842 | Physica D: Nonlinear Phenomena | 2008 | 46 Pages |
Abstract
In the appendices, we give a self-contained account of the Cauchy problem from the perspectives of both inverse scattering and classical analysis (Picard iteration). Specifically, Appendix A contains a complete formulation of the inverse-scattering method for generic L1-Sobolev initial data, and Appendix B establishes the well-posedness for Lp-Sobolev initial data (which in particular completely justifies the inverse-scattering analysis in Appendix A).
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Robert Buckingham, Peter D. Miller,