Differential Equations

, Volume 44, Issue 3, pp 374–389 | Cite as

On the existence and absence of global solutions of the first Darboux problem for nonlinear wave equations

  • G. K. Berikelashvili
  • O. M. Dzhokhadze
  • B. G. Midodashvili
  • S. S. Kharibegashvili
Partial Differential Equations


For the one-dimensional wave equation with a power-law nonlinearity, we consider the first Darboux problem, for which we study issues related to the existence and absence of local and global solutions.


Classical Solution Global Solution Nonlinear Wave Equation Global Solvability Unique Classical Solution 
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Copyright information

© MAIK Nauka 2008

Authors and Affiliations

  • G. K. Berikelashvili
    • 1
    • 2
  • O. M. Dzhokhadze
    • 1
    • 2
  • B. G. Midodashvili
    • 1
    • 2
  • S. S. Kharibegashvili
    • 1
    • 2
  1. 1.Mathematical InstituteTbilisiGeorgia
  2. 2.Georgia Technical UniversityTbilisiGeorgia

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