We prove the equivalence of weak solutions and entropy solutions of an elliptic-parabolic-hyperbolic degenerate equation g(t)t - Δb(u) + div φ(u) = f with homogeneous Dirichlet conditions and initial conditions. As a result of the equivalence, we obtain the L1-contraction principle and uniqueness of weak solutions of elliptic-parabolic degenerate equations.
- Degenerate elliptic-hyperbolic equation
- Entropy solution
- Weak solution
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