以下为句子列表：
英文: In this paper the local existence of solutions for a class of strongly damped wave equations is considered, and the global existence and blow-up of solutions based on the potential well theory is studied.
中文: 摘要讨论一类强阻尼波方程解的局部存在性，并利用势井理论研究解的整体存在性和爆破性。
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