| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4604223 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2015 | 27 Pages |
Abstract
We consider the Cauchy problem for the critical Burgers equation. The existence and the uniqueness of global solutions for small initial data are studied in the Besov space B˙∞,10(Rn) and it is shown that the global solutions are bounded in time. We also study the large time behavior of the solutions with the initial data u0∈L1(Rn)∩B˙∞,10(Rn) to show that the solution behaves like the Poisson kernel.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tsukasa Iwabuchi,