On the strong pre-compactness property for entropy solutions of a degenerate elliptic equation with discontinuous flux (Q1038500)
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scientific article; zbMATH DE number 5634902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the strong pre-compactness property for entropy solutions of a degenerate elliptic equation with discontinuous flux |
scientific article; zbMATH DE number 5634902 |
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On the strong pre-compactness property for entropy solutions of a degenerate elliptic equation with discontinuous flux (English)
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18 November 2009
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Under some non-degeneracy condition the author shows that sequences of entropy solutions of the following semi-linear elliptic equation \[ \text{div}_x( \varphi(x, u) -A(x)\nabla g(u) )+ \psi (x, u) = 0 \] are strongly pre-compact in the general case of a Carathéodory flux vector. The proofs are based on localization principles for \(H\)-measures corresponding to sequences of measure-valued functions.
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semi-linear elliptic equations
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entropy solutions
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measure-valued solutions
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\(H\)-measures
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localization principles
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strong pre-compactness
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0.9377398
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