Stability of periodic solutions of conservation laws with viscosity: Pointwise bounds on the Green function (Q1566396)
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scientific article; zbMATH DE number 1922444
| Language | Label | Description | Also known as |
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| English | Stability of periodic solutions of conservation laws with viscosity: Pointwise bounds on the Green function |
scientific article; zbMATH DE number 1922444 |
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Stability of periodic solutions of conservation laws with viscosity: Pointwise bounds on the Green function (English)
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2 June 2003
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This paper deals with pointwise Green function bounds for a system of linear convection diffusion equations about a traveling front or pulse solution; the basic approach is to exploit in the Laplace transform setting the elementary Fourier-transform analysis of the constant coefficient case. In the reaction-diffusion setting, the linear estimates obtained here refine earlier results obtained by using weighted norm and Bloch-decomposition methods.
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Green function bounds
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linear convection diffusion equations
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Bloch-decomposition methods
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