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Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions |
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| Authors: | Nakao Hayashi Pavel I. Naumkin |
| Affiliation: | a Department of Mathematics, Graduate School of Science, Osaka University, Osaka, Toyonaka 560-0043, Japan b Instituto de Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), Morelia CP 58089, Michoacán, Mexico |
| Abstract: | We prove the existence of the scattering operator in the neighborhood of the origin in the weighted Sobolev space Hβ,1 with  for the nonlinear Klein-Gordon equation with a power nonlinearity |
| Keywords: | Asymptotics of solutions Nonlinear Klein-Gordon equations Scattering operator Higher space dimensions Power nonlinearities |
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