Abstract We consider the mixed problem with acoustic transmission conditions for semilinear hyperbolic equations. The existence and uniqueness are proved; a smoothness result is also obtained. The main result is the proof of the existence of a global attractor for the problem in question.

中文翻译：

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具有声传输条件的半线性波方程的吸引子

摘要 我们考虑了半线性双曲方程的声学传输条件的混合问题。证明了存在性和唯一性；也获得了平滑度结果。主要结果是证明存在问题的全局吸引子。