Ukrainian Mathematical Journal

, Volume 45, Issue 4, pp 526–534 | Cite as

On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains

  • V. V. Kurta


The theorems of uniqueness of solutions are formulated in the classes of increasing functions for a mixed initial boundary value problem for the second-order degenerate quasiparabolic equations in unbounded noncylindrical domains. We presenta priori estimates of a special kind, analogous to the Saint-Venant principle. The proofs are based on the method of introducing a parameter.


Parabolic Equation Special Kind Initial Boundary Noncylindrical Domain Mixed Initial Boundary 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • V. V. Kurta
    • 1
  1. 1.Institute of Applied Mathematics and MechanicsUkrainian Academy of SciencesDonetsk

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