TY - JOUR
T1 - Homoclinic orbits for the perturbed sine-Gordon equation
AU - Shatah, Jalal
AU - Zeng, Chongchun
PY - 2000/3
Y1 - 2000/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0034406879&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034406879&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1097-0312(200003)53:3<283::AID-CPA1>3.0.CO;2-2
DO - 10.1002/(SICI)1097-0312(200003)53:3<283::AID-CPA1>3.0.CO;2-2
M3 - Article
AN - SCOPUS:0034406879
SN - 0010-3640
VL - 53
SP - 283
EP - 299
JO - Communications on Pure and Applied Mathematics
JF - Communications on Pure and Applied Mathematics
IS - 3
ER -