Uniqueness of entropy solutions of nonlinear elliptic-parabolic-hyperbolic problems in one dimension space

• Autores: Stanislas Ouaro
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 22, Nº 1, 2009, págs. 7-36
• Idioma: inglés
• DOI: 10.5209/rev_rema.2009.v22.n1.16303
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• Resumen

  • We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t -a(u, f(ux)x= f with homogeneous Dirichlet conditions and initial conditions. In this paper we prove an L1-contraction principle and the uniqueness of entropy solutions under rather general assumptions on the data.