The lifespan of solutions to wave equations with weighted nonlinear terms in one space dimension
The lifespan of solutions to wave equations with weighted nonlinear terms in one space dimension
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DOI：
10.14492/hokmj/1498788020
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发表时间：
2014-09
期刊：
影响因子：
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通讯作者：
Kyouhei Wakasa
中科院分区：
文献类型：
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作者：
Kyouhei Wakasa
在本文中，我们考虑一维空间中带有加权非线性项的非线性波动方程的初值问题。 Kubo & Osaka & Yazici (2013) 研究了不同条件下非线性和初始数据问题的全局可解性，以及问题寿命的上限。本文的目的是提高寿命的上限并推导出其下限，这表明了我们新上限的最优性。
In this paper, we consider the initial value problem for nonlinear wave equation with weighted nonlinear terms in one space dimension. Kubo & Osaka & Yazici(2013) studied global solvability of the problem under different conditions on the nonlinearity and initial data, together with an upper bound of the lifespan for the problem. The aim of this paper is to improve the upper bound of the lifespan and to derive its lower bound which shows the optimality of our new upper bound.