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Recueil Mathématique (Nouvelle série), 1937, Volume 2(44), Number 5, Pages 815–870 (Mi sm5630)  

This article is cited in 26 scientific papers (total in 26 papers)

Über das Cauchysche Problem für Systeme von partiellen Differentialgleichungen

I. Petrowsky
Received: 14.01.1937
Bibliographic databases:
Language: German
Citation: I. Petrowsky, “Über das Cauchysche Problem für Systeme von partiellen Differentialgleichungen”, Sb. Math., 44:5 (1937)
Citation in format AMSBIB
\Bibitem{Pet37}
\by I.~Petrowsky
\paper \"Uber das Cauchysche Problem f\"ur Systeme von partiellen Differentialgleichungen
\jour Sb. Math.
\yr 1937
\vol 44
\issue 5
\mathnet{http://mi.mathnet.ru/eng/sm5630}
\zmath{https://zbmath.org/?q=an:0018.40503|63.0466.03}
Linking options:
  • https://www.mathnet.ru/eng/sm5630
  • https://www.mathnet.ru/eng/sm/v44/i5/p815
  • This publication is cited in the following 26 articles:
    1. V. I. Korzyuk, Ya. V. Rudko, “Klassicheskoe reshenie zadachi Koshi dlya polulineinogo giperbolicheskogo uravneniya v sluchae dvukh nezavisimykh peremennykh”, Izv. vuzov. Matem., 2024, no. 3, 50–63  mathnet  crossref
    2. H. G. Ghazaryan, “Comparison of powers of differential polynomials”, Eurasian Math. J., 14:4 (2023), 23–46  mathnet  crossref
    3. Litovchenko V.A., “Hyperbolic Systems in Gelfand and Shilov Spaces”, Ukr. Math. J., 71:10 (2020), 1555–1571  crossref  isi
    4. V. N. Margaryan, H. G. Ghazaryan, “On fundamental solutions of a class of weak hyperbolic operators”, Eurasian Math. J., 9:2 (2018), 54–67  mathnet
    5. Mamchuev M.O., “Zadacha koshi v nelokalnoi postanovke dlya sistemy uravnenii s chastnymi proizvodnymi drobnogo poryadka”, Differentsialnye uravneniya, 48:3 (2012), 351–351  elib
    6. Korzyuk V.I., Kozlovskaya I.S., “Reshenie zadachi koshi dlya giperbolicheskogo uravneniya s postoyannymi koeffitsientami v sluchae dvukh nezavisimykh peremennykh”, Differentsialnye uravneniya, 48:5 (2012), 700–700  elib
    7. Mamchuev M.O., “Cauchy Problem in Nonlocal Statement for a System of Fractional Partial Differential Equations”, Differ. Equ., 48:3 (2012), 354–361  crossref  isi
    8. N. A. Sidorov, M. V. Falaleev, “Continuous and generalized solutions of singular integro-differential equations in Banach spaces”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 2012, no. 11, 62–74  mathnet
    9. O. V. Groshev, “Zadacha Koshi dlya volnovogo uravneniya na neglobalno giperbolicheskikh mnogoobraziyakh”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(22) (2011), 42–46  mathnet  crossref  elib
    10. V. I. Korzyuk, O. A. Konopel'ko, E. S. Cheb, “Boundary-value problems for fourth-order equations of hyperbolic and composite types”, Journal of Mathematical Sciences, 171:1 (2010), 89–115  mathnet  crossref  mathscinet  isi
    11. O. V. Groshev, “Existence and uniqueness of classical solutions of the Cauchy problem on nonglobally hyperbolic manifolds”, Theoret. and Math. Phys., 164:3 (2010), 1202–1207  mathnet  crossref  crossref  adsnasa  isi
    12. I. V. Volovich, O. V. Groshev, N. A. Gusev, E. A. Kuryanovich, “On Solutions to the Wave Equation on a Non-globally Hyperbolic Manifold”, Proc. Steklov Inst. Math., 265 (2009), 262–275  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    13. I. Ya. Aref'eva, I. V. Volovich, T. Ishiwatari, “Cauchy problem on non-globally hyperbolic space-times”, Theoret. and Math. Phys., 157:3 (2008), 1646–1654  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    14. M. V. Falaleev, N. A. Sidorov, “Continuous and generalized solutions of singular partial differential equations”, Lobachevskii J. Math., 20 (2005), 31–45  mathnet  mathscinet  zmath  elib
    15. A. Yu. Shcheglov, “A method for approximate solution in C2 of a hyperbolic equation with Lipschitz nonlinearity”, Comput. Math. Math. Phys., 41:3 (2001), 392–406  mathnet  mathscinet  zmath  elib
    16. 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  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    17. M. V. Fedoryuk, “Of Fourier integral operators and the asymptotic behaviour of the solution of the mixed problem”, Russian Math. Surveys, 32:6 (1977), 67–120  mathnet  crossref  mathscinet  zmath
    18. A. V. Fursikov, “Formuly dlya nekotorykh funktsionalov ot gladkikh reshenii odnogo klassa sistem kvazilineinykh uravnenii”, UMN, 31:1(187) (1976), 265–266  mathnet  mathscinet  zmath
    19. J. Leray, “The linear analytic cauchy problem with singular initial data (after hamada and wagschal); partial hyperbolicity”, Russian Math. Surveys, 29:2 (1974), 213–222  mathnet  crossref  mathscinet  zmath
    20. Y. Choquet-Bruhat, “The stability of the solutions of non-linear hyperbolic equations on a manifold”, Russian Math. Surveys, 29:2 (1974), 327–335  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1936–1946 Sbornik: Mathematics
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