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Behavior of the Higher Order Derivatives of Solutions of a Class of Nonhypoelliptic Equations in the Infinite Cylinder

  • Gennadii H. Hakobyan
  • Vachagan N. Margarjan
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 8)

Abstract

The first results on the infinite differentiability and analyticity of solutions of elliptic equations have been derived by S. Bernshtein [1]. In [2] I. Petrovski proved that all classical solutions of elliptic equations with analytic coefficients and analytic right-hand sides are analytic functions.

Keywords

Elliptic Equation Constant Coefficient Linear Differential Operator Differential Property Linear Partial Differential Operator 
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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Gennadii H. Hakobyan
    • 1
  • Vachagan N. Margarjan
    • 1
  1. 1.Department of Mathematics, Faculty of physicsYerevan State UniversityYerevanArmenia

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