A characterization of the individual maximum and anti-maximum principle
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
Abstract approaches to maximum and anti-maximum principles for differential operators typically rely on the condition that all vectors in the domain of the operator are dominated by the leading eigenfunction of the operator. We study the necessity of this condition. In particular, we show that under a number of natural assumptions, so-called individual versions of both the maximum and the anti-maximum principle simultaneously hold if and only if the aforementioned domination condition is satisfied. Consequently, we are able to show that a variety of concrete differential operators do not satisfy an anti-maximum principle.
Details
Original language | English |
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Article number | 24 |
Number of pages | 17 |
Journal | Mathematische Zeitschrift |
Volume | 305 |
Issue number | 2 |
Publication status | Published - Oct 2023 |
Peer-reviewed | Yes |
External IDs
Scopus | 85172005763 |
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Mendeley | 09bfe9da-2f5a-3bac-aad4-2dc227b2e0e3 |
Keywords
DFG Classification of Subject Areas according to Review Boards
ASJC Scopus subject areas
Keywords
- Eventual positivity, Eventually positive resolvents, Individual anti-maximum principle, Maximum principle