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Pointwise Green's Function Bounds for Multidimensional Scalar Viscous Shock Fronts

✍ Scribed by David Hoff; Kevin Zumbrun


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
341 KB
Volume
183
Category
Article
ISSN
0022-0396

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Pointwise Green's function approach to s
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We study the pointwise behavior of perturbations from a viscous shock solution to a scalar conservation law, obtaining an estimate independent of shock strength. We find that for a perturbation with initial data decaying algebraically or slower, the perturbation decays in time at the rate of decay o