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


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 .


Differential Equation Generalize Solution Elliptic Differential Equation 
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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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