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Pointwise estimates and stability for degenerate viscous shock waves
| Content Provider | Semantic Scholar |
|---|---|
| Author | Howard, Peter |
| Copyright Year | 2002 |
| Abstract | We study the pointwise behavior of perturbed degenerate (sonic) shock waves for scalar conservation laws with constant di¤usion. Building on the pointwise Green’s function approach of [H1–3], [ZH], we extend the linear analysis to an equation with non-integrable coe‰cients, arriving at an estimate on linearized perturbations believed sharp to a possible error of size log t. Nonlinear stability for degenerate waves follows in all L p norms, pf 1. |
| File Format | PDF HTM / HTML |
| DOI | 10.1515/crll.2002.034 |
| Volume Number | 2002 |
| Alternate Webpage(s) | http://www.math.tamu.edu/~phoward/admin/crelle1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1515/crll.2002.034 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |