Geodesic
Generalized solutions to singular initial-boundary hyperbolic problems with non-lipshitz nonlinearities
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006), p. 87 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We prove the existence and uniqueness of global generalized solutions in a Colombeau algebra of generalized functions to semilinear hyperbolic systems with nonlinear boundary conditions. Our analysis covers the case of non-Lipschitz nonlinearities both in the differential equations and in the boundary conditions. We admit strong singularities in the differential equations as well as in the initial and boundary conditions.
Classification : 35L50 35L67 35D05
Keywords: Colombeau algebra, semilinear hyperbolic system, nonlinear boundary condition 
@article{BASS_2006_31_a7,
     author = {Irina Kmit},
     title = {Generalized solutions to singular initial-boundary hyperbolic problems with non-lipshitz nonlinearities},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {87 },
     year = {2006},
     volume = {31},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2006_31_a7/}
}
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Irina Kmit. Generalized solutions to singular initial-boundary hyperbolic problems with non-lipshitz nonlinearities. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006), p. 87 . http://geodesic.mathdoc.fr/item/BASS_2006_31_a7/