Ukrainian Mathematical Journal

, Volume 56, Issue 1, pp 96–108 | Cite as

On the Smoothness of a Generalized Solution of the First Initial Boundary-Value Problem for Strongly Parabolic Systems in a Cylinder with Nonsmooth Base with Respect to Time Variable

  • Nguyen Manh Hung
  • Pham Trieu Duong


We consider the first initial boundary-value problem for strongly parabolic systems in an infinite cylinder with nonsmooth boundary. We establish conditions for the existence of generalized solutions, an estimate for this solutions, and an estimate for the derivative of the solution.


Time Variable Generalize Solution Parabolic System Infinite Cylinder Nonsmooth Boundary 
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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • Nguyen Manh Hung
    • 1
  • Pham Trieu Duong
    • 1
  1. 1.Hanoi University of EducationVietnam

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