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.
|Number of pages||13|
|Journal||Journal of Differential Equations|
|Publication status||Published - 2003 Apr 10|
- Degenerate elliptic-hyperbolic equation
- Entropy solution
- Weak solution
ASJC Scopus subject areas