Hardy-type estimates for Dirac operators
Jean Dolbeault, Maria J. Esteban, Javier Duoandikoetxea, Luis Vega (2007)
Annales scientifiques de l'École Normale Supérieure
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Jean Dolbeault, Maria J. Esteban, Javier Duoandikoetxea, Luis Vega (2007)
Annales scientifiques de l'École Normale Supérieure
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Journal of Inequalities and Applications [electronic only]
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Boundary Value Problems [electronic only]
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Annales de l'I.H.P. Analyse non linéaire
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Abstract and Applied Analysis
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ESAIM: Control, Optimisation and Calculus of Variations
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The propagation of fractures in a solid undergoing cyclic loadings is known as the . In this paper, we present a time continuous model for fatigue, in the special situation of the debonding of thin layers, coming from a time discretized version recently proposed by Jaubert and Marigo [ (2005) 550–556]. Under very general assumptions on the surface energy density and on the applied displacement, we discuss the well-posedness of our problem and we give the main properties...