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Algebra i Analiz, 2018, Volume 30, Issue 2, Pages 45–75 (Mi aa1580)  
This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution

A. A. Arkhipova

St. Petersburg State University, Universitetskaya nab. 7/9, 199034 St. Petersburg, Russia
Full-text PDF (323 kB) Citations (6)
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Abstract: A class of quasilinear parabolic systems with nondiagonal principal matrices and strongly nonlinear additional terms is considered. The elliptic operator of the system has a variational structure. The existence of a global smooth solution is proved in the case of two spatial variables.
Keywords: parabolic systems, strong nonlinearity, global solvability.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00472
Supported by RFBR (grant № 18-01-00472).
Received: 30.09.2017
English version:
St. Petersburg Mathematical Journal, 2019, Volume 30, Issue 2, Pages 181–202
DOI: https://doi.org/10.1090/spmj/1537
Bibliographic databases:
Document Type: Article
MSC: 35K55
Language: English
Citation: A. A. Arkhipova, “Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution”, Algebra i Analiz, 30:2 (2018), 45–75; St. Petersburg Math. J., 30:2 (2019), 181–202
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :46
    References:61
    First page:10
     
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