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Homoclinic orbits for the perturbed sine-Gordon equation

✍ Scribed by Jalal Shatah; Chongchun Zeng

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
99 KB
Volume
53
Category
Article
ISSN
0010-3640

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✦ Synopsis

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.

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