Homoclinic orbits for the perturbed sine
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Jalal Shatah; Chongchun Zeng
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Article
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2000
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John Wiley and Sons
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English
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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 sp