A regularity theorem for a non-convex scalar conservation law (Q797738)
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scientific article; zbMATH DE number 3867739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A regularity theorem for a non-convex scalar conservation law |
scientific article; zbMATH DE number 3867739 |
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A regularity theorem for a non-convex scalar conservation law (English)
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1986
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In this paper we study the regularity properties of solutions of a single conservation law. We prove that if the flux function \(f(\cdot)\) is smooth and totally nonlinear in the sense that f''(\(\cdot)\) vanishes at isolated points only, and if the initial data \(u_ 0(\cdot)\) is bounded and measurable, then f'(\(u(\cdot,t))\) is in the class of functions of locally bounded variation for all \(t>0\).
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regularity theorem
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conservation law
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flux function
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