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Matematicheskie Zametki, 2004, Volume 75, Issue 6, Pages 841–848
DOI: https://doi.org/10.4213/mzm75
(Mi mzm75)
 

This article is cited in 1 scientific paper (total in 1 paper)

On Domination Conditions for Systems of Minimal Differential Operators Acting in the Space $L_\infty(\mathbb R^n)$

D. V. Lymanskyi

Donetsk National University
Full-text PDF (220 kB) Citations (1)
References:
Abstract: In this paper, we consider the linear space of minimal differential operators with constant coefficients which are dominated by systems of minimal operators acting in spaces with uniform norm. In terms of domination conditions, we prove the quasiellipticity test for a given operator; this criterion generalizes a similar result of De Leeuw and Mirkil to elliptic operators.
Received: 14.05.2003
English version:
Mathematical Notes, 2004, Volume 75, Issue 6, Pages 787–793
DOI: https://doi.org/10.1023/B:MATN.0000030988.11731.5b
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: D. V. Lymanskyi, “On Domination Conditions for Systems of Minimal Differential Operators Acting in the Space $L_\infty(\mathbb R^n)$”, Mat. Zametki, 75:6 (2004), 841–848; Math. Notes, 75:6 (2004), 787–793
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm75
  • https://doi.org/10.4213/mzm75
  • https://www.mathnet.ru/eng/mzm/v75/i6/p841
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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