In this work, we study the persistence of a homoclinic orbit of the sine-Gordon equation under diffusive and driven perturbations. An analytic perturbation method based on time-dependent scattering theory, together with Fredholm theory, is used to establish persistence. The estimates are given in space-time function spaces, with a certain time decay required for the existence of a homoclinic orbit.
|Original language||English (US)|
|Number of pages||17|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Mar 2000|
ASJC Scopus subject areas
- Applied Mathematics