Scattering operator for nonlinear Klein–Gordon equations in higher space dimensions

详细信息    查看全文

• 作者：Nakao Hayashi ; Pavel I. Naumkin
• 关键词：Asymptotics of solutions ; Nonlinear Klein– ; Gordon equations ; Scattering operator ; Higher space dimensions ; Power nonlinearities
• 刊名：Journal of Differential Equations
• 出版年：2008
• 出版时间：1 January 2008
• 年：2008
• 卷：244
• 期：1
• 页码：188-199
• 全文大小：146 K

文摘

We prove the existence of the scattering operator in the neighborhood of the origin in the weighted Sobolev space H^β,1 with for the nonlinear Klein–Gordon equation with a power nonlinearity

where for n3, μC.