Note on the existence theory for non-induced evolution equations

Alex Kaltenbach

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arXiv · 1912.10039

Note on the existence theory for non-induced evolution equations

Alex Kaltenbach

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Abstract

In this note we develop a framework which allows to prove an abstract existence result for non-linear evolution equations involving so-called non-induced operators, i.e., operators which are not prescribed by a time-dependent family of operators. Apart from this, we introduce the notion of $C^0$-Bochner pseudo-monotonicity, and $C^0$-Bochner coercivity, which are appropriate adaptions of the standard notion to the case of evolutionary problems.

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Alex Kaltenbach. 2019-12-20. Note on the existence theory for non-induced evolution equations. https://arxiv.org/abs/1912.10039

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