| Title:
|
Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations (English) |
| Author:
|
Feireisl, Eduard |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
192-208 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper, the existence of a weak time-periodic solution to the nonlinear telegraph equation $U_{tt}+dU_t-\sigma(x,t,U_x)_x+aU=f(x,t,U_x,U_t,U)$ with the Dirichlet boundary conditions is proved. No "smallness" assumptions are made concerning the function $f$. The main idea of the proof relies on the compensated compactness theory. (English) |
| Keyword:
|
telegraph equation |
| Keyword:
|
compensated compactness |
| Keyword:
|
vanishing viscosity method |
| MSC:
|
35B10 |
| MSC:
|
35L70 |
| MSC:
|
35Q20 |
| MSC:
|
47J25 |
| idZBL:
|
Zbl 0737.35040 |
| idMR:
|
MR1052740 |
| DOI:
|
10.21136/AM.1990.104403 |
| . |
| Date available:
|
2008-05-20T18:39:10Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104403 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
