Journal of Mathematical Sciences

, Volume 215, Issue 4, pp 510–516 | Cite as

Conjugate Problem for a Third Order Equation with Multiple Characteristics and a Positive Function at the Higher Order Derivative


We establish the existence and uniqueness of a regular solution to the conjugate (generalized diffraction) problem for the equation uth(x)u xxx + c(x, t)u = f(x, t), where h(x) is positive and can have discontinuity of the first kind at the point x = 0.


Regular Solution Regularization Method Multiple Characteristic Boundary Integral High Order Derivative 
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© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Sobolev Institute of Mathematics SB RASKoptyugaRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia
  3. 3.Research Institute of MathematicsM. K. Ammosov North-Eastern Federal UniversityYakutskRussia

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