Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems (Q1303828)
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scientific article; zbMATH DE number 1339360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems |
scientific article; zbMATH DE number 1339360 |
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Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems (English)
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8 March 2000
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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.
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comparison principle
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correspondence between weak and renormalized solutions
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Kruzhkov's method of doubling variables
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