A new definition of viscosity solutions for a class of second-order degenerate elliptic integro-differential equations
Mariko Arisawa (2006)
Annales de l'I.H.P. Analyse non linéaire
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Mariko Arisawa (2006)
Annales de l'I.H.P. Analyse non linéaire
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Lions, Pierre-Louis
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Cristian E. Gutiérrez, Ermanno Lanconelli (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We compare several definitions of weak solutions to second order partial differential equations with nonnegative characteristic form.
Francesca Da Lio, Annamaria Montanari (2006)
Annales de l'I.H.P. Analyse non linéaire
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Fabio Camilli, Olivier Ley, Paola Loreti (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we study homogenization for a class of monotone systems of first-order time-dependent periodic Hamilton-Jacobi equations. We characterize the Hamiltonians of the limit problem by appropriate cell problems. Hence we show the uniform convergence of the solution of the oscillating systems to the bounded uniformly continuous solution of the homogenized system.