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Izvestiya: Mathematics, 1997, Volume 61, Issue 5, Pages 933–959
DOI: https://doi.org/10.1070/im1997v061n05ABEH000150 (Mi im150) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a weak (algebraic) extremum principle for a second-order parabolic system

L. A. Kamynin, B. N. Khimchenko
English version PDF (239 kB) Citations (1)
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DOI: https://doi.org/10.1070/im1997v061n05ABEH000150
Abstract: The notion of a weak “algebraic” extremum principle (WAEP) is introduced for second-order parabolic systems. It is based on the representation of the (coefficient) matrix of the system as a sum of matrices that are similar to diagonal matrices and nilpotent matrices, and on the reduction of the system to a single equation. The validity of the WAEP is proved for a rather broad class of second-order parabolic systems with “full mixing”. The WAEP is applied to prove the uniqueness of the solution of the first boundary-value problem for the parabolic systems in question.
Received: 20.11.1995
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1997, Volume 61, Issue 5, Pages 35–62
DOI: https://doi.org/10.4213/im150
Bibliographic databases:
MSC: 35K50, 35B50
Language: English
Original paper language: Russian
Citation: L. A. Kamynin, B. N. Khimchenko, “On a weak (algebraic) extremum principle for a second-order parabolic system”, Izv. RAN. Ser. Mat., 61:5 (1997), 35–62; Izv. Math., 61:5 (1997), 933–959
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v61/i5/p35
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:428
    Russian version PDF:198
    English version PDF:7
    References:90
    First page:1
     
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