On the domain of analyticity of solutions to semilinear Klein-Gordon equations

详细信息    查看全文

• 作者：Stefano Panizzi ^{stefano.panizzi@unipr.it}
• 关键词：Primary ; 35L71 ; Secondary ; 35B65 ; 35B40 ; 35A20
• 刊名：Nonlinear Analysis
• 出版年：2012
• 出版时间：March 2012
• 年：2012
• 卷：75
• 期：5
• 页码：2841-2850
• 全文大小：244 K

文摘

We consider initial-value problems for semilinear Klein-Gordon equations with periodic boundary conditions. Assuming that both the initial data and the nonlinear forcing term are analytic, we provide explicit lower bounds on the decay of the radius of analyticity of the solutions as a function of time. In particular, in one space dimension, with real valued and , we prove that the decay of is not worse than . The results are given in a general framework, including Gevrey class solutions.