| Title:
|
Global classical solutions to a kind of mixed initial-boundary value problem for inhomogeneous quasilinear hyperbolic systems (English) |
| Author:
|
Yang, Yong-Fu |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
57 |
| Issue:
|
3 |
| Year:
|
2012 |
| Pages:
|
231-261 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, the mixed initial-boundary value problem for inhomogeneous quasilinear strictly hyperbolic systems with nonlinear boundary conditions in the first quadrant $\{(t,x)\colon t \geq 0, x \geq 0\}$ is investigated. Under the assumption that the right-hand side satisfies a matching condition and the system is strictly hyperbolic and weakly linearly degenerate, we obtain the global existence and uniqueness of a $C^1$ solution and its $L^1$ stability with certain small initial and boundary data. (English) |
| Keyword:
|
quasilinear hyperbolic system |
| Keyword:
|
mixed initial-boundary value problem |
| Keyword:
|
global classical solution |
| Keyword:
|
weak linear degeneracy |
| Keyword:
|
matching conditon |
| MSC:
|
35A01 |
| MSC:
|
35A02 |
| MSC:
|
35A09 |
| MSC:
|
35B35 |
| MSC:
|
35L50 |
| MSC:
|
35L60 |
| idZBL:
|
Zbl 1265.35207 |
| idMR:
|
MR2984602 |
| DOI:
|
10.1007/s10492-012-0015-x |
| . |
| Date available:
|
2012-06-08T10:00:23Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142852 |
| . |
| Reference:
|
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