Contents > Past issues > Volume 6
Problème initial et aux limites avec une condition non locale pour une équation pseudoparabolique de transfert d’humidité de troisième ordre
N’gniamessan GBENOUGA
06BP : 62337 Lomé Togo
Aboudou-Fataou MOROU, Mawussi TODJRO and Kokou TCHARIE
BP : 1515 Lomé Togo
Mathematics Subject Classification: (2010) 35K70, 35A35, 34A12
Key words: pseudoparabolic equations, a priori energetic inequality, continuous
dependence
Abstract:
In the rectangle O = (0,l) × (0,T), consider the equation :
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with initial condition
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and Dirichlet or Neumann condition on x = 0
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and also integral condition
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where λ is a positive real parameter and a(x,t), b(x,t), f1(x,t), f1(x), µ(t), h(t) and g(t) are known functions that satisfy well-defined conditions.
We establishe the a priori energetic inequality which guarantees the uniqueness of the solution and show the continuous dependance of the solution to the parameter λ.