An energy-preserving nonlinear system modeling a string with input and output on the boundary |
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Authors: | Peng-Fei Yao |
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Institution: | Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, PR China |
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Abstract: | We study an energy conserving distributed parameter system described by a nonlinear string equation with the input and output at the boundary. We prove the existence of global smooth solutions to this quasilinear hyperbolic system if the initial data and the boundary input are small. If, moreover, the input function becomes zero after some finite time, then the state trajectories decay exponentially. |
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Keywords: | 49B 49E 35B35 35L65 35L70 38J45 |
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