强阻尼波动方程解的最优引导项

IF 0.6 4区数学 Q3 MATHEMATICS

Hokkaido Mathematical Journal Pub Date : 2018-10-22 DOI:10.14492/hokmj/2018-920

Hironori Michihisa

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引用次数: 21

摘要

我们分析了具有强阻尼项的波动方程解的渐近性质。如果初始数据属于适当的加权$L^1$空间，则得到了傅立叶空间中解与前导项之间差的下界，这意味着本文提出的展开方法和一些估计的最优性。

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Optimal leading term of solutions to wave equations with strong damping terms

We analyze the asymptotic behavior of solutions to wave equations with strong damping terms. If the initial data belong to suitable weighted $L^1$ spaces, lower bounds for the difference between the solutions and the leading terms in the Fourier space are obtained, which implies the optimality of expanding methods and some estimates proposed in this paper.

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.