Hamidou Touré - Théorie générale d’équation de type hyperbolique-parabolique non linéaire

arima:1906 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, October 5, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008 - https://doi.org/10.46298/arima.1906
Théorie générale d’équation de type hyperbolique-parabolique non linéaireArticle

Authors: Hamidou Touré 1

  • 1 Laboratoire d'Analyse Mathématique des Equations

We develop general theory for degenerate hyperbolic-parabolic type problems using semi-group theory in Banach spaces. We establish existence, uniqness results and continuous dependance with respects to data for mild solution. Similar results are developped for weak solution of entropy type, and existence of solutions are studied.

https://doi.org/10.46298/arima.1906
Source: HAL:hal-01277840v1
Volume: Volume 9, 2007 Conference in Honor of Claude Lobry, 2008
Published on: October 5, 2008
Submitted on: March 13, 2008
Keywords: Degenerate parabolic equation, weak equation, entropy solution, semi-group,Equation parabolique degénérée,solution faible,semi-groupe,solution entropique,[INFO]Computer Science [cs],[MATH]Mathematics [math]

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