Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841234 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 11 Pages |
Abstract
Initial-boundary value problems for sine–Gordon and complex sine–Gordon equations in a semi-strip are treated. The evolution of the Weyl function and a uniqueness result are obtained for the complex sine–Gordon equation. The evolution of the Weyl function as well as an existence result and a procedure to recover solution are given for the sine–Gordon equation. It is shown that for a wide class of examples the solutions of the sine–Gordon equation are unbounded in the quarter-plane.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Alexander Sakhnovich,