Abstract
We are concerned with the Cauchy problem of the quantum Landau equation in the whole space. The existence of local in time nearby quantum Maxwellian solutions is proved by the iteration method and generalized maximum principle. Based on Kawashima's compensating function and nonlinear energy estimates, the global existence and the optimal time decay rate of those solutions are obtained under some conditions on initial data. © 2012 Elsevier Inc.
| Original language | English |
|---|---|
| Pages (from-to) | 5414-5452 |
| Journal | Journal of Differential Equations |
| Volume | 252 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 15 May 2012 |
| Externally published | Yes |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].Research Keywords
- Compensating function
- Nonlinear energy method
- Optimal time decay
- Quantum Landau equation
Fingerprint
Dive into the research topics of 'Optimal time decay of the quantum Landau equation in the whole space'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver