Local well posedness for strongly damped wave equations with critical nonlinearities
Local well posedness for strongly damped wave equations with critical nonlinearities
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DOI：
10.1017/s0004972700040296
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发表时间：
2002-12
影响因子：
0.7
通讯作者：
A. Carvalho;J. Cholewa
中科院分区：
文献类型：
--
作者：
A. Carvalho;J. Cholewa
本文考虑了强阻尼波动方程，在乘积空间中得到了一个局部适定性结果。初始条件的空间是根据能量泛函选择的，而本文中使用的方法是基于解析半群理论以及内插和外推空间。这个功能的分析框架允许本地存在的结果证明的情况下，临界增长的非线性，这改善了现有的结果。
In this article the strongly damped wave equation is considered and a local well posedness result is obtained in the product space . The space of initial conditions is chosen according to the energy functional, whereas the approach used in this article is based on the theory of analytic semigroups as well as interpolation and extrapolation spaces. This functional analytic framework allows local existence results to be proved in the case of critically growing nonlinearities, which improves the existing results.