## Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems.(English)Zbl 0932.35129

The paper is devoted to uniqueness and a comparison principle in $$L^1$$ for renormalized solutions for the degenerate elliptic-parabolic equation $b(u)_t= \text{div }a(u,Du)+ f,$ where $$a$$ is a continuous vector field satisfying a growth condition. The authors explain the correspondence between weak and renormalized solutions. To prove their results, they use Kruzhkov’s method of doubling variables both in space and time.

### MSC:

 35K65 Degenerate parabolic equations
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### References:

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