Global solutions for nonlinear Klein-Gordon equations in infinite homogeneous waveguides |
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Authors: | Daoyuan Fang Sijia Zhong |
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Institution: | Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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Abstract: | In this paper we prove a global existence result for nonlinear Klein-Gordon equations in infinite homogeneous waveguides, R×M, with smooth small data, where M=(M,g) is a Zoll manifold, or a compact revolution hypersurface. The method is based on normal forms, eigenfunction expansion and the special distribution of eigenvalues of the Laplace-Beltrami on such manifolds. |
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Keywords: | Klein-Gordon Waveguides Global existence |
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