Global Solutions of IBVP to Nonlinear Equation of Suspended String
Global Solutions of IBVP to Nonlinear Equation of Suspended String
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DOI：
10.3836/tjm/1202136695
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发表时间：
2007-12
影响因子：
0.6
通讯作者：
Jaipong Wongsawasdi;M. Yamaguchi
中科院分区：
文献类型：
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作者：
Jaipong Wongsawasdi;M. Yamaguchi
.我们将把IBVP看作是一个非线性的均匀密度悬挂弦线方程，它受到一个非线性的与时间无关的外力作用。我们将证明IBVP的时间整体弱解的存在性。为了证明我们的结果，我们将使用[Ya 1]定义的函数空间，并应用基于势阱和Galerkin方法的Sattinger [Sat]的方法。
. We shall consider IBVP to a nonlinear equation of suspended string with uniform density to which a nonlinear time-independent outer force works. We shall show the existence of time-global weak solutions of IBVP. To prove our result we shall use the function spaces defined by [Ya1], and apply the method due to Sattinger [Sat] based on the potential-well and the Galerkin method.