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The mixed problem in a quarter space for systems of equations with constant coefficients which are correct in the sense of I. G. Petrovskii

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Literature Cited

  1. G. E. Shilov, “On boundary value problems in a quarter plane for partial differential equations with constant coefficients,” Sib. Matem. Zh.,2, No. 1, 144–160 (1961).

    Google Scholar 

  2. S. L. Sobolev, “On mixed problems for partial differential equations with two independent variables,” Dokl. Akad. Nauk SSSR,122, No. 4, 555–558 (1958).

    Google Scholar 

  3. F. G. Selezneva and S. D. Éidel'man, “Boundary value problems for equations with positive genus on the plane which are correct in the sense of I. G. Petrovskii,” Differents. Uraveneniya,7, No. 10, 1854–1868 (1971).

    Google Scholar 

  4. F. G. Selezneva and S. D. Éidel'man, “Solvability of boundary value problems for systems of equations with constant coefficients on the plane which are correct in the sense of I. G. Petrovskii,” Sib. Matem. Zh.,12, No. 6, 1354–1362 (1971).

    Google Scholar 

  5. R. Hersh, “Boundary conditions for equations of evolution,” Arch. Rat. Mech. Anal.,16, No. 4, 243–264 (1964).

    Google Scholar 

  6. G. E. Shilov, Mathematical Analysis, Second Special Course [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  7. S. Agmon, A. Douglis, and L. Nirenberg, “Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I,” Comm. Pure and Appl. Math.,12, No. 4, 627–727 (1959); II, Comm. Pure and Appl. Math.,17, No. 1, 35–92 (1964).

    Google Scholar 

  8. V. A. Solonnikov, “On boundary value problems for linear parabolic systems of differential equations of general type,” Tr. Matem. Inst. Akad. Nauk SSSR,83, 1–163 (1965).

    Google Scholar 

  9. A. Seidenberg, “A new decision method for elementary algebra,” Ann. Math.,2, 60, 365–374 (1954).

    Google Scholar 

  10. I. M. Gel'fand and G. E. Shilov, Certain Questions in the Theory of Differential Equations [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

  11. É. Goursat, A Course of Mathematical Analysis [Russian translation], Vol. II, Gos. Tekhnteoretich. Izd., Moscow-Leningrad (1933).

    Google Scholar 

  12. E. A. Gorin, “Asymptotic properties of polynomials and algebraic functions of several variables,” Usp. Matem. Nauk,16, No. 1, 91–118 (1961).

    Google Scholar 

  13. A. G. Kostyuchenko and G. I. Éskin, “The Cauchy problem for Sobolev-Gal'pern equations,” Tr. Mosk. Matem. Obshch.,10, 273–284 (1961).

    Google Scholar 

  14. N. G. Chebotarev, Theory of Algebraic Functions [in Russian], Gostekhizdat, Moscow-Leningrad (1948).

    Google Scholar 

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Authors
  1. N. V. Zarnitskaya
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  2. F. G. Selezneva
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  3. S. D. Éidel'man
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Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 15, No. 2, pp. 332–342, March–April, 1974.

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Zarnitskaya, N.V., Selezneva, F.G. & Éidel'man, S.D. The mixed problem in a quarter space for systems of equations with constant coefficients which are correct in the sense of I. G. Petrovskii. Sib Math J 15, 234–241 (1974). https://doi.org/10.1007/BF00968288

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  • DOI: https://doi.org/10.1007/BF00968288

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