Non-decay results for linear transport equations
โ Scribed by Mei-Qin Zhan
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 154 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
The Landau damping problem for linear transport equations
is studied in this work. Our results show that the behavior of ฮฑ(v) plays an important role in the time decaying of the solutions.
๐ SIMILAR VOLUMES
We consider global strong solutions of the quasi-linear evolution equations (1.1) and (1.2) below, corresponding to sufficiently small initial data, and prove some stability estimates, as t โ +โ, that generalize the corresponding estimates in the linear case.
## Abstract A local energy decay problem is studied to a typical linear wave equation in an exterior domain. For this purpose, we do not assume any compactness of the support on the initial data. This generalizes a previous famous result due to Morawetz (__Comm. Pure Appl. Math__. 1961; **14**:561โ