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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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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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