Siberian Mathematical Journal

, Volume 18, Issue 5, pp 851–853 | Cite as

Conditions for polynomial behavior at infinity of the solutions of a class of pseudodifferential equations

  • B. N. Chistyakov
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Keywords

Pseudodifferential Equation Polynomial Behavior 
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Literature Cited

  1. 1.
    S. V. Uspenskii and B. N. Chistyakov, “On polynomial behavior of the solutions of a class of pseudodifferential equations as |x| → ∞,” Sib. Mat. Zh.,16, No. 5, 1053–1070 (1975).Google Scholar
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    V. V. Grushin, “On conditions of Sommerfeld type for a class of partial differential equations,” Mat. Sb.,61, No. 2, 147–174 (1963).Google Scholar
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    S. V. Uspenskii, “On differential properties of solutions of a class of pseudodifferential equations at infinity,” Sib. Mat. Zh.,13, No. 3, 665–678 (1972).Google Scholar
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    L. Hörmander, Theory of General Partial Differential Operators [Russian translation], IL, Moscow (1959).Google Scholar
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    S. V. Uspenskii, “On the representation of functions defined by a class of hypoelliptic operators,” Tr. Mat. Inst. Akad. Nauk SSSR,117, 292–299 (1972).Google Scholar
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    P. S. Filatov, “On differential properties of solutions of equations of quasielliptic type at infinity,” Sib. Mat. Zh.,16, No. 2, 368–383 (1975).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • B. N. Chistyakov

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