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Matematicheskie Zametki, 2012, Volume 91, Issue 1, Pages 67–73
DOI: https://doi.org/10.4213/mzm8582 (Mi mzm8582) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Examples of the Nonuniqueness of Solutions of the Mixed Problem for the Heat Equation in Unbounded Domains

L. M. Kozhevnikova

Sterlitamak State Pedagogical Academy
Full-text PDF (468 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm8582
Abstract: For a wide class of domains of revolution, we construct examples of the nonuniqueness of solutions of the first mixed problem for the heat equation, which supports the exactness of a uniqueness class of Täcklind type.
Keywords: heat equation, Cauchy problem, uniqueness class of Täcklind type, measurable function, domain of revolution, Hilbert space, Harnack's inequality.
Received: 05.11.2009
English version:
Mathematical Notes, 2012, Volume 91, Issue 1, Pages 58–64
DOI: https://doi.org/10.1134/S0001434612010063
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
Language: Russian
Citation: L. M. Kozhevnikova, “Examples of the Nonuniqueness of Solutions of the Mixed Problem for the Heat Equation in Unbounded Domains”, Mat. Zametki, 91:1 (2012), 67–73; Math. Notes, 91:1 (2012), 58–64
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm8582
  • https://doi.org/10.4213/mzm8582
  • https://www.mathnet.ru/eng/mzm/v91/i1/p67
    • This publication is cited in the following 3 articles:
    1. M. M. Amangalieva, M. T. Dzhenaliev, M. T. Kosmakova, M. I. Ramazanov, “On one homogeneous problem for the heat equation in an infinite angular domain”, Siberian Math. J., 56:6 (2015), 982–995  mathnet  crossref  crossref  mathscinet  isi  elib
    2. M. H. Jenaliyev, M. Amangaliyeva, M. Kosmakova, M. Ramazanov, “About Dirichlet boundary value problem for the heat equation in the infinite angular domain”, Bound. Value Probl., 2014 (2014), 213, 21 pp.  crossref  mathscinet  zmath  isi  scopus
    3. Amangalieva M.M., Dzhenaliev M.T., Kosmakova M.T., Ramazanov M.I., “O zadache Dirikhle dlya uravneniya teploprovodnosti v beskonechnoi uglovoi oblasti”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 15:2 (2013), 9–24  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Abstract page:818
    Full-text PDF :265
    References:101
    First page:36
     
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