On non‐autonomous integro‐differential‐algebraic evolutionary problems
On non‐autonomous integro‐differential‐algebraic evolutionary problems
复制标题
非自主积分微分代数进化问题
DOI：
10.1002/mma.3097
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发表时间：
2013
影响因子：
2.9
通讯作者：
M. Waurick
中科院分区：
文献类型：
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作者：
M. Waurick
在这篇文章中，我们展示了一种显示Picard和McGhee意义下的演化方程适定性结果的技术[Picard，McGhee，偏微分方程：统一的希尔伯特空间方法，DeGruyter，柏林，2011]，建立在[Picard，Trostorff，Wehowski，Waurick，关于非自治演化问题。J. Evol.当量ag 13：751 - 776，2013]适用于更广泛的一类非自治积分微分代数方程。利用演化映射的概念，我们证明了相应的解算子不依赖于描述适定性结果成立的底层空间的某些参数。版权所有© 2014约翰威利父子有限公司.
In this article, we show that a technique for showing well‐posedness results for evolutionary equations in the sense of Picard and McGhee [Picard, McGhee, Partial Differential Equations: A unified Hilbert Space Approach, DeGruyter, Berlin, 2011] established in [Picard, Trostorff, Wehowski, Waurick, On non‐autonomous evolutionary problems. J. Evol. Equ. 13:751‐776, 2013] applies to a broader class of non‐autonomous integro‐differential‐algebraic equations. Using the concept of evolutionary mappings, we prove that the respective solution operators do not depend on certain parameters describing the underlying spaces in which the well‐posedness results are established. Copyright © 2014 John Wiley & Sons, Ltd.