Pointwise Estimates on Travelling Wave Solution of the Scalar Viscous Conservation Laws

摘要

This paper research on the pointwise behavior of perturbations from a viscous shock solution to a scalar viseous conservation law by introducing an approximate Green's function. The authors obtain not only the pointwise decay of the perturbation ard but also the high derivative of it. Stability in any Lp (p≥1) norm is a direct consequence.