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Sbornik: Mathematics, 2006, Volume 197, Issue 2, Pages 281–302
DOI: https://doi.org/10.1070/SM2006v197n02ABEH003758
(Mi sm1515)
 

Solubility on compact subsets for differential equations with real principal pencil of symbols

N. A. Shananin

Peoples Friendship University of Russia
References:
Abstract: The central result is a theorem on the solubility on compact subsets for differential equations of quasiprincipal type with real principal pencil of symbols. The proof is based on the analysis of the microlocal structure of the singularities of solutions of equations in this class.
Bibliography: 11 titles.
Keywords: distribution, wavefront set, solvability.
Received: 29.10.2004
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 2, Pages 137–160
DOI: https://doi.org/10.4213/sm1515
Bibliographic databases:
UDC: 517.85
MSC: Primary 35A07; Secondary 35A30
Language: English
Original paper language: Russian
Citation: N. A. Shananin, “Solubility on compact subsets for differential equations with real principal pencil of symbols”, Sb. Math., 197:2 (2006), 281–302
Citation in format AMSBIB
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\paper Solubility on compact subsets for differential equations with real principal pencil of symbols
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\yr 2006
\vol 197
\issue 2
\pages 281--302
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Linking options:
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  • https://doi.org/10.1070/SM2006v197n02ABEH003758
  • https://www.mathnet.ru/eng/sm/v197/i2/p137
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    Математический сборник Sbornik: Mathematics
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    Abstract page:326
    Russian version PDF:174
    English version PDF:3
    References:59
    First page:1
     
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