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Global existence for nonlinear Klein-Gordon equations in infinite homogeneous waveguides in two dimensions |
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| Authors: | Daoyuan Fang Changqing Tong Sijia Zhong |
| Affiliation: | Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
| Abstract: | In this paper we prove a global existence result for nonlinear Klein-Gordon equations with small data in infinite homogeneous waveguids, R2×M, where M=(M,g) is a Zoll manifold. The method is based on the normal forms, the eigenfunction expansion for M and the special distribution of eigenvalues of Laplace-Beltrami on Zoll manifold. |
| Keywords: | Global existence Nonlinear Klein-Gordon equation in 2D Infinite homogeneous waveguides Zoll manifold |
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