Theoretical Mathematics & Applications

A priori estimate and continuous dependence of solutions to mixed boundary value problems for pseudo-parabolic equation

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• Abstract
  
  
  One establishes the a priori energy inequality which guarantees the uniqueness of the solution and shows the continuous dependence of the solutions of the form of the boundary conditions.
  
  
  Mathematics Subject Classification: 35K70; 35A35; 34A12
  Keywords: pseudoparabolic equations; a priori energetic inequality; continuous dependence