Nonexistence of global solutions of abstract wave equations with high energies
نویسنده
چکیده
We consider an undamped second order in time evolution equation. For any positive value of the initial energy, we give sufficient conditions to conclude nonexistence of global solutions. The analysis is based on a differential inequality. The success of our result is based in a detailed analysis which is different from the ones commonly used to prove blow-up. Several examples are given improving known results in the literature.
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عنوان ژورنال:
دوره 2017 شماره
صفحات -
تاریخ انتشار 2017