Uniqueness of continuous solutions for BV vector fields (Q1847897)
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scientific article; zbMATH DE number 1820876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of continuous solutions for BV vector fields |
scientific article; zbMATH DE number 1820876 |
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Uniqueness of continuous solutions for BV vector fields (English)
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27 October 2002
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The authors study the Cauchy problem for a transport equation \(Xu=cu\) associated with a vector field \(X=\partial_t+\sum_{j=1}^d a_j(t,x)\partial_j\), in which coefficients \(a_j\) are assumed to be functions of bounded variation. Under some additional assumptions on growth of the coefficients the authors prove the uniqueness of continuous solutions.
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transport equation
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BV vector fields
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Cauchy problem
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