An entropy solution for some degenerate or singular obstacle parabolic problems with \(L^1\)-data via a sequence of penalized equations (Q642862)
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scientific article; zbMATH DE number 5964510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An entropy solution for some degenerate or singular obstacle parabolic problems with \(L^1\)-data via a sequence of penalized equations |
scientific article; zbMATH DE number 5964510 |
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An entropy solution for some degenerate or singular obstacle parabolic problems with \(L^1\)-data via a sequence of penalized equations (English)
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27 October 2011
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The authors study the relationship between the obstacle problem arising from an initial-boundary value problem for a parabolic equation with the Leray-Lions operator and a sequence of approximate solutions obtained by penalized methods. See [the first and the third authors, in: Recent developments in nonlinear analysis. Proceedings of the conference in mathematics and mathematical physics, Fez, Morocco, 2008. Hackensack, NJ: World Scientific. 123--140 (2010; Zbl 1228.35130)].
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weighted Sobolev spaces
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degenerated obstacle
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penalization method
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0.92687595
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0.9072084
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0.90710557
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0.90043926
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0.8960625
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