Pointwise Green's function bounds for multidimensional scalar viscous shock fronts (Q1849205)
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scientific article; zbMATH DE number 1836800
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pointwise Green's function bounds for multidimensional scalar viscous shock fronts |
scientific article; zbMATH DE number 1836800 |
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Pointwise Green's function bounds for multidimensional scalar viscous shock fronts (English)
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28 November 2002
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The authors study the stability of multidimensional scalar viscous shock fronts. They extend the pointwise semigroup method introduced in the one-dimensional case by one of the authors and others to the multidimensional case. A pointwise bound for the Green's function of the linearized operator is obtained. Based on this result the authors also sharpen some \(L^p\)-estimates obtained by \textit{J. Goodman} and \textit{J. R. Miller} [J. Dyn. Differ. Equ. 11, 255-277 (1999; Zbl 0934.35093)].
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pointwise semigroup method
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