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Ukrainian Mathematical Journal

, Volume 47, Issue 1, pp 107–120 | Cite as

On regularity of generalized solutions of the third boundary-value problem for an elliptic difference-differential equation

  • E. L. Tsvetkov
Article

Abstract

Unlike the case of elliptic differential equations, generalized solutions of elliptic difference-differential equations may be not smooth in a domainQ but remain smooth only in certain subdomainsQ r Q Conditions are considered which are necessary and sufficient for generalized solutions of the third boundary-value problem to preserve smoothness on the boundary of adjacent subdomainsQ r .

Keywords

Differential Equation Generalize Solution Elliptic Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • E. L. Tsvetkov
    • 1
  1. 1.Moscow Aircraft InstituteUSSR

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