| Title:
|
Global existence and $L_p$ decay estimate of solution for Cahn-Hilliard equation with inertial term (English) |
| Author:
|
Xu, Hongmei |
| Author:
|
Li, Qi |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
66 |
| Issue:
|
4 |
| Year:
|
2021 |
| Pages:
|
583-597 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The Cauchy problem of the Cahn-Hilliard equation with inertial term in multi space dimension is considered. Based on detailed analysis of Green's function, using fixed-point theorem, we get the global existence in time of classical solution with large initial data. Furthermore, we get $L_p$ decay rate of the solution. (English) |
| Keyword:
|
Cahn-Hilliard equation with inertial term |
| Keyword:
|
large initial data |
| Keyword:
|
classical solution |
| Keyword:
|
$L_p$ decay |
| MSC:
|
35M11 |
| idZBL:
|
07396168 |
| idMR:
|
MR4283304 |
| DOI:
|
10.21136/AM.2021.0180-19 |
| . |
| Date available:
|
2021-07-09T08:14:18Z |
| Last updated:
|
2023-09-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148973 |
| . |
| Reference:
|
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