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An extremum principle for the generalized solution of an equation of mixed type with lowest terms

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Literature Cited

  1. A. V. Bitsadze, “On some problems of mixed type,” Dokl. Akad. Nauk SSSR,70, No. 4, 561–565 (1950).

    Google Scholar 

  2. P. Germain and R. Bader, “Sur le problème de Tricomi,” Compt. Rends. Acad. Sci.,232, No. 6, 463–465 (1951).

    Google Scholar 

  3. K. I. Babenko, On the Theory of Equations of Mixed Type, Doctoral Dissertation [in Russian], Moscow State University (1951).

  4. S. Agmon, L. Nirenberg, and M. Protter, “A maximum principle for a class of hyperbolic equations and applications to equations of mixed elliptic-hyperbolic type,” Comm. on Pure and Appl. Math.,6, No. 4, 455–470 (1953).

    Google Scholar 

  5. V. F. Volkodavov, “The uniqueness of the solution of the problem T for the general Tricomi equation,” Proceedings of the First Scientific Conference of the Mathematics Faculty of the Povolzhia Pedagogical Institute [in Russian], Kuibyshev (1961), pp. 45–49.

  6. M. E. Lerner, “On maximum principles for equations of mixed elliptic-hyperbolic type of the second order,” Dokl. Akad. Nauk SSSR,185, No. 5, 991–994 (1969).

    Google Scholar 

  7. L. I. Kovalenko, “The uniqueness of the generalized solution of the Tricomi problem,” Sibirsk. Matem. Zh.,11, No. 6, 1291–1311 (1970).

    Google Scholar 

  8. Yu. M. Berezanskii, “Some examples of “nonclassical” boundary-value problems for partial differential equations,” Dokl. Akad. Nauk SSSR,131, No. 3, 478–481 (1960).

    Google Scholar 

  9. Yu. M. Berezanskii, “Energy inequalities for some classes of equations of mixed type,” Dokl. Akad. Nauk SSSR,132, No. 1, 9–12 (1960).

    Google Scholar 

  10. C. Miranda, Partial Differential Equations of Elliptic Type [Russian translation], IL, Moscow (1957).

    Google Scholar 

  11. M. M. Smirnov, Equations of Mixed Type [in Russian], Nauka, Moscow (1970).

    Google Scholar 

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Authors
  1. L. I. Kovalenko
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 14, No. 1, pp. 221–228, January–February, 1973.

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Kovalenko, L.I. An extremum principle for the generalized solution of an equation of mixed type with lowest terms. Sib Math J 14, 158–163 (1973). https://doi.org/10.1007/BF00967278

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  • DOI: https://doi.org/10.1007/BF00967278

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