Uniqueness of Entropy Solutions of Nonlinear Elliptic-Parabolic-Hyperbolic Problems in One Dimension Space

  • Stanislas Ouaro
DOI: https://doi.org/10.5209/rev_REMA.2009.v22.n1.16303
Keywords: Elliptic, Parabolic, Hyperbolic, Weak solution, Entropy solution, L1-contraction

Abstract

We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t — a(u, φ(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.

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Published
2009-03-11
How to Cite
Ouaro S. . (2009). Uniqueness of Entropy Solutions of Nonlinear Elliptic-Parabolic-Hyperbolic Problems in One Dimension Space. Revista Matemática Complutense, 22(1), 7-36. https://doi.org/10.5209/rev_REMA.2009.v22.n1.16303
Issue
Vol. 22 No. 1 (2009)
Section
Articles

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