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Analyticity and theorems of Liouville and Phragmen — Lindelöf type for general parabolic systems of differential equations

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Literature Cited

  1. I. G. Petrovskii, "On the Cauchy problem for systems of linear equations with partial derivatives in regions of nonanalytic functions," Bull. MGU (A),1, No. 7, 1–72 (1938).

    Google Scholar 

  2. O. A. Oleinik and E. V. Radkevich, "On the behavior at infinity of solutions of some systems of equations with partial derivatives," Usp. Matem. Nauk,28, No. 5, 249–250 (1973).

    Google Scholar 

  3. A. I. Tikhonov, "Uniqueness theorems for the heat-conduction equations," Matem. Sb.,42, 199–216 (1937).

    Google Scholar 

  4. O. A. Oleinik and E. V. Radkevich, "Analyticity and theorems of Liouville and Phragmen—Lindelöf type for general elliptic systems of differential equations," Matem. Sb.,95, 132–147 (1974).

    Google Scholar 

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

    Google Scholar 

  6. S. D. Éidel'man, Parabolic Systems [in Russian], Nauka, Moscow (1964).

    Google Scholar 

  7. A. Friedman, "Interior estimates for parabolic systems of partial differential equations," J. Math. and Mech.,7, No. 3, 393–417 (1958).

    Google Scholar 

  8. V. A. Solonnikov, On Curve Problems for Linear Parabolic Systems of Differential Equations of General Form [in Russian], Trudy Matem. Inst. Steklova,33 (1965).

  9. M. S. Agranovich and M. I. Vishik, "Elliptic problems with a parameter and parabolic problems of a general form," Usp. Matem. Nauk,19, No. 3, 53–161 (1964).

    Google Scholar 

  10. C. B. Morrey and L. Nirenberg, On the analyticity of the solutions of linear elliptic systems of partial differential equations, Comm. Pure and Appl. Math.,10, 271–290 (1957).

    Google Scholar 

  11. O. A. Oleinik and E. V. Radkevich, "Estimates for characteristic functions and the solutions of some systems of equations with partial derivatives which depend on parameters," Usp. Matem. Nauk,28, No. 4, 223–224 (1973).

    Google Scholar 

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Moscow State University. Institute for Mechanics Problems, Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 8, No. 4, pp. 59–70, October–December, 1974.

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Oleinik, O.A., Radkevich, E.V. Analyticity and theorems of Liouville and Phragmen — Lindelöf type for general parabolic systems of differential equations. Funct Anal Its Appl 8, 322–330 (1974). https://doi.org/10.1007/BF01075490

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