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Sbornik: Mathematics, 1999, Volume 190, Issue 9, Pages 1247–1265
DOI: https://doi.org/10.1070/sm1999v190n09ABEH000425 (Mi sm425) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Classical solutions of quasielliptic equations

V. S. Belonosov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
English version PDF (427 kB) Citations (11)
References:
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DOI: https://doi.org/10.1070/sm1999v190n09ABEH000425
Abstract: Fundamental solutions of quasielliptic equations are constructed; this allows the author to develop a relevant theory of volume potentials, establish estimates for the Holder norms of solutions of equations with constant coefficients, and extend them after that to equations with variable coefficients. As a result, sharp Schauder-type interior estimates are obtained, of which the well-known classical results for elliptic and parabolic equations are special cases.
Received: 24.11.1998
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 9, Pages 21–40
DOI: https://doi.org/10.4213/sm425
Bibliographic databases:
UDC: 517.95
MSC: 35G05
Language: English
Original paper language: Russian
Citation: V. S. Belonosov, “Classical solutions of quasielliptic equations”, Mat. Sb., 190:9 (1999), 21–40; Sb. Math., 190:9 (1999), 1247–1265
Citation in format AMSBIB
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  • https://doi.org/10.1070/sm1999v190n09ABEH000425
  • https://www.mathnet.ru/eng/sm/v190/i9/p21
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:369
    English version PDF:11
    References:50
    First page:1
     
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