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Sbornik: Mathematics, 2000, Volume 191, Issue 1, Pages 61–95
DOI: https://doi.org/10.1070/sm2000v191n01ABEH000448 (Mi sm448) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Non-linear analytic and coanalytic problems ($L_p$-theory, Clifford analysis, examples)

Yu. A. Dubinskii, A. S. Osipenko

Moscow Power Engineering Institute (Technical University)
English version PDF (624 kB) Citations (6)
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DOI: https://doi.org/10.1070/sm2000v191n01ABEH000448
Abstract: Two kinds of new mathematical model of variational type are put forward: non-linear analytic and coanalytic problems. The formulation of these non-linear boundary-value problems is based on a decomposition of the complete scale of Sobolev spaces into the “orthogonal” sum of analytic and coanalytic subspaces. A similar decomposition is considered in the framework of Clifford analysis. Explicit examples are presented.
Received: 28.01.1999
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 1, Pages 65–102
DOI: https://doi.org/10.4213/sm448
Bibliographic databases:
UDC: 517.53+517.91
MSC: Primary 46E35, 35G30; Secondary 15A66
Language: English
Original paper language: Russian
Citation: Yu. A. Dubinskii, A. S. Osipenko, “Non-linear analytic and coanalytic problems ($L_p$-theory, Clifford analysis, examples)”, Mat. Sb., 191:1 (2000), 65–102; Sb. Math., 191:1 (2000), 61–95
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
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:259
    English version PDF:13
    References:122
    First page:1
     
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