Well-posedness viaMonotonicity—an overview.

Well-posedness viaMonotonicity—an overview.
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通过单调性实现适定性——概述。

DOI:
10.1007/978-3-319-18494-4
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发表时间:
2015
期刊:
Asymptot. Anal.
影响因子:
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通讯作者:
M. Waurick
M. Waurick
中科院分区:
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文献类型:
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作者:
R. Picard;S. Trostorff;M. Waurick

文献摘要

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单调性的思想被证明是与数学物理问题相关的解理论的中心主题。一个“大统一”的设置进行调查,涵盖了全面的一类这样的问题。我们用一些例子来说明这种设置的适用性。在这个框架内的稳定性和均匀化问题的简要讨论也包括在内。
The idea of monotonicity is shown to be the central theme of the solution theories associated with problems of mathematical physics. A “grand unified” setting is surveyed covering a comprehensive class of such problems. We illustrate the applicability of this setting with a number of examples. A brief discussion of stability and homogenization issues within this framework is also included.