Homoclinic orbits for the perturbed sine-Gordon equation

Jalal Shatah, Chongchun Zeng

Research output: Contribution to journalArticle

Abstract

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 languageEnglish (US)
Pages (from-to)283-299
Number of pages17
JournalCommunications on Pure and Applied Mathematics
Volume53
Issue number3
StatePublished - Mar 2000

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sine-Gordon equation
Sine-Gordon Equation
Homoclinic Orbit
Persistence
Orbits
Fredholm Theory
Scattering Theory
Perturbation Method
Function Space
Space-time
Decay
Scattering
Perturbation
Estimate

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Homoclinic orbits for the perturbed sine-Gordon equation. / Shatah, Jalal; Zeng, Chongchun.

In: Communications on Pure and Applied Mathematics, Vol. 53, No. 3, 03.2000, p. 283-299.

Research output: Contribution to journalArticle

Shatah, Jalal ; Zeng, Chongchun. / Homoclinic orbits for the perturbed sine-Gordon equation. In: Communications on Pure and Applied Mathematics. 2000 ; Vol. 53, No. 3. pp. 283-299.
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