Global solutions and finite time blow up for damped semilinear wave equations
Global solutions and finite time blow up for damped semilinear wave equations
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DOI：
10.1016/j.anihpc.2005.02.007
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发表时间：
2006-01-01
影响因子：
1.9
通讯作者：
Squassina, M
中科院分区：
文献类型：
--
作者：
Gazzola, F;Squassina, M
考虑了一类具有超线性源项的阻尼波动方程。证明了每个整体解在自然相空间中是一致有界的。得到了初始值在势阱中解的整体存在性。最后，不仅证明了解在不稳定集上的有限时间爆破，而且构造了解爆破的高能初始数据。(c)2005年，Elsevier SAS。All rights reserved.
A class of damped wave equations with superlinear source term is considered. It is shown that every global solution is uniformly bounded in the natural phase space. Global existence of solutions with initial data in the potential well is obtained. Finally, not only finite time blow up for solutions starting in the unstable set is proved, but also high energy initial data for which the solution blows up are constructed. (c) 2005 Elsevier SAS. All rights reserved.