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Matematicheskie Zametki, 2004, Volume 76, Issue 6, Pages 824–832
DOI: https://doi.org/10.4213/mzm154 (Mi mzm154) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Problem without Initial Conditions for the Heat Equation

R. V. Guseinov
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DOI: https://doi.org/10.4213/mzm154
Abstract: We consider an exterior problem without initial conditions for a class of equations of parabolic type. An existence and uniqueness theorem for the solution of this problem is proved. In the proof, Hardy's inequality for function spaces with derivatives of nonintegral order (a result obtained earlier by the author) is essentially used.
Received: 06.09.1999
Revised: 03.09.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 6, Pages 770–777
DOI: https://doi.org/10.1023/B:MATN.0000049676.19287.2a
Bibliographic databases:
UDC: 517.95.4
Language: Russian
Citation: R. V. Guseinov, “Problem without Initial Conditions for the Heat Equation”, Mat. Zametki, 76:6 (2004), 824–832; Math. Notes, 76:6 (2004), 770–777
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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