Propagation of Regularity and Persistence of Decay for Fifth Order Dispersive Models
Propagation of Regularity and Persistence of Decay for Fifth Order Dispersive Models
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DOI：
10.1007/s10884-015-9499-x
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发表时间：
2015-02
影响因子：
1.3
通讯作者：
J. Segata;Derek L. Smith
中科院分区：
文献类型：
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作者：
J. Segata;Derek L. Smith
本文考虑一类包含五阶 KdV 方程 $$\begin{aligned} \partial _tu - \partial _x^5u -30u^2\partial _xu + 20\partial _xu\partial _x^2u + 10u\partial _x^3u = 0 的五阶色散模型的初值问题。 \end{aligned}$$主要结果表明，正半线上数据的正则性或多项式衰减会产生正时间解的正则性。
This paper considers the initial value problem for a class of fifth order dispersive models containing the fifth order KdV equation $$\begin{aligned} \partial _tu - \partial _x^5u -30u^2\partial _xu + 20\partial _xu\partial _x^2u + 10u\partial _x^3u = 0. \end{aligned}$$The main results show that regularity or polynomial decay of the data on the positive half-line yields regularity in the solution for positive times.