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Ukrainian Mathematical Journal

, Volume 45, Issue 8, pp 1272–1284 | Cite as

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

  • E. L. Tsvetkov
Article

Abstract

Unlike the case of elliptic differential equations, generalized solutions of elliptic differential-difference equations may be nonsmooth on an entire domainQ, only preserving smoothness on certain subdomainsQ r Q. The conditions are considered under which the generalized solutions of the third boundary-value problem remain smooth on the boundaries of the neighboring 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 1994

Authors and Affiliations

  • E. L. Tsvetkov
    • 1
  1. 1.Moscow Aviation InstituteMoscow

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