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Matematicheskie Zametki, 2003, Volume 73, Issue 2, Pages 244–257
DOI: https://doi.org/10.4213/mzm183 (Mi mzm183) 		 
The Maximum Principle for Parabolic Inequalities on Stratified Sets

V. V. Kulyaba, O. M. Penkin

Voronezh State University
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DOI: https://doi.org/10.4213/mzm183
Abstract: In this paper, we consider the heat conduction operator with elliptic part of divergent type on a stratified set (i.e., on the set of manifolds of various dimension). We prove an analog of the lemma on the normal derivative and the weak and strong maximum principles for parabolic inequalities on this set.
Received: 09.10.2000
Revised: 15.02.2002
English version:
Mathematical Notes, 2003, Volume 73, Issue 2, Pages 228–239
DOI: https://doi.org/10.1023/A:1022163109895
Bibliographic databases:
UDC: 517.956.4
Language: Russian
Citation: V. V. Kulyaba, O. M. Penkin, “The Maximum Principle for Parabolic Inequalities on Stratified Sets”, Mat. Zametki, 73:2 (2003), 244–257; Math. Notes, 73:2 (2003), 228–239
Citation in format AMSBIB
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