Yu. V. Egorov, “Subelliptic operators”, Russian Math. Surveys, 30:3 (1975), 55

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Russian Mathematical Surveys, 1975, Volume 30, Issue 3, Pages 55–105
DOI: https://doi.org/10.1070/RM1975v030n03ABEH001412 (Mi rm4118)

This article is cited in 10 scientific papers (total in 11 papers)

Subelliptic operators

Yu. V. Egorov

English version PDF (2061 kB) Citations (11) Russian version article

References:

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DOI: https://doi.org/10.1070/RM1975v030n03ABEH001412

Abstract: In this article we study conditions on the symbol of differential or pseudodifferential operators that characterize them as belonging to the class of subelliptic operators, the properties of which are close to those of elliptic operators. We give for the first time full proofs of the theorem about the equivalence of the algebraic conditions on the principal symbol and the conditions for subellipticity. Our results can be used in the study of boundary value problems for elliptic equations.

Bibliographic databases:

Document Type: Article

UDC: 517.4

MSC: 35Sxx, 35H20, 47G30

Language: English

Original paper language: Russian

Citation: Yu. V. Egorov, “Subelliptic operators”, Russian Math. Surveys, 30:3 (1975), 55–105

Citation in format AMSBIB

\Bibitem{Ego75}

\by Yu.~V.~Egorov

\paper Subelliptic operators

\jour Russian Math. Surveys

\yr 1975

\vol 30

\issue 3

\pages 55--105

\mathnet{http://mi.mathnet.ru/eng/rm4118}

\crossref{https://doi.org/10.1070/RM1975v030n03ABEH001412}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=410474}

\zmath{https://zbmath.org/?q=an:0309.35068|0331.35054}

Linking options:

https://www.mathnet.ru/eng/rm4118

https://doi.org/10.1070/RM1975v030n03ABEH001412

https://www.mathnet.ru/eng/rm/v30/i3/p57

This publication is cited in the following 11 articles:

M. I. Vishik, L. R. Volevich, A. M. Il'in, A. S. Kalashnikov, V. A. Kondrat'ev, O. A. Oleinik, “Yurii Vladimirovich Egorov (on his 60th birthday)”, Russian Math. Surveys, 54:2 (1999), 465–476
Vladimir Tulovsky, “On an interpretation of Hörmander's condition of local solvability”, Indagationes Mathematicae, 9:1 (1998), 123
Pengfei Guan, “Hölder regularity of subelliptic pseudodifferential operators”, Duke Math. J., 60:3 (1990)
Jean Nourrigat, “Inégalités L2 et représentations de groupes nilpotents”, Journal of Functional Analysis, 74:2 (1987), 300
V. V. Korenyako, “The Gárding inequality for a system of pseudodifferential operators”, Russian Math. Surveys, 38:1 (1983), 198–199
Yu. A. Dubinskii, “The algebra of pseudodifferential operators with analytic symbols and its applications to mathematical physics”, Russian Math. Surveys, 37:5 (1982), 109–153
Yu. V. Egorov, “Equations of principal type. Sufficient conditions for local solvability”, Math. USSR-Sb., 44:4 (1983), 517–525
Kazuaki Taira, “Un théorème d'existence et d'unicité des solutions pour des problèmes aux limites non-elliptiques”, Journal of Functional Analysis, 43:2 (1981), 166
Yu. V. Egorov, “An inequality for differential operators of the first order”, Russian Math. Surveys, 33:6 (1978), 225–226
Yu. V. Egorov, “Novoe dokazatelstvo teoremy o lokalnoi razreshimosti uravnenii s prostymi veschestvennymi kharakteristikami”, UMN, 32:2(194) (1977), 211–212
G. M. Henkin, “The Lewy equation and analysis on pseudoconvex manifolds”, Russian Math. Surveys, 32:3 (1977), 59–130

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	418
Russian version PDF:	215
English version PDF:	42
References:	68
First page:	1

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