抽象二阶演化方程的奇异极限问题

IF 0.6 4区数学 Q3 MATHEMATICS

Hokkaido Mathematical Journal Pub Date : 2019-12-21 DOI:10.14492/hokmj/2021-504

R. Ikehata, M. Sobajima

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引用次数: 2

摘要

考虑具有参数$\varepsilon \in(0,1]$的抽象二阶演化方程在实数Hilbert空间中的奇异极限问题。我们首先从能量法的角度对Kisynski(1963)的著名结果给出了另一种证明。接下来，我们在初始数据的相当高的正则性假设下，根据解本身的$\varepsilon$推导出一个更精确的渐近轮廓为$\varepsilon$到+0$。

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Singular limit problem of abstract second order evolution equations

We consider the singular limit problem in a real Hilbert space for abstract second order evolution equations with a parameter $\varepsilon \in (0,1]$. We first give an alternative proof of the celebrated results due to Kisynski (1963) from the viewpoint of the energy method. Next we derive a more precise asymptotic profile as $\varepsilon \to +0$ of the solution itself depending on $\varepsilon$ under rather high regularity assumptions on the initial data.

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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.