Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension
In this article we consider the existence and uniqueness of local weak solutions to the Emden-Fowler type wave equation $$ t^ 2 u_{tt} -u_{{xx}}=|u|^{p-1}u\quad\text{in }[1,T]\times (a,b) $$ with initial-boundary value conditions in a finite time interval.
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| Format: | Article |
| Language: | English |
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Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/145/abstr.html |
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doaj-ca2c2ba1ad304b08b1084498a690c8f02020-11-25T01:08:50ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-06-012015145,110Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimensionMeng-Rong Li0 National Chengchi Univ., Taipei, Taiwan In this article we consider the existence and uniqueness of local weak solutions to the Emden-Fowler type wave equation $$ t^ 2 u_{tt} -u_{{xx}}=|u|^{p-1}u\quad\text{in }[1,T]\times (a,b) $$ with initial-boundary value conditions in a finite time interval.http://ejde.math.txstate.edu/Volumes/2015/145/abstr.htmlEmden-Fowler wave equationexistenceuniqueness |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Meng-Rong Li |
| spellingShingle |
Meng-Rong Li Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension Electronic Journal of Differential Equations Emden-Fowler wave equation existence uniqueness |
| author_facet |
Meng-Rong Li |
| author_sort |
Meng-Rong Li |
| title |
Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension |
| title_short |
Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension |
| title_full |
Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension |
| title_fullStr |
Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension |
| title_full_unstemmed |
Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension |
| title_sort |
existence and uniqueness of local weak solutions for the emden-fowler wave equation in one dimension |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2015-06-01 |
| description |
In this article we consider the existence and uniqueness
of local weak solutions to the Emden-Fowler type wave equation
$$
t^ 2 u_{tt} -u_{{xx}}=|u|^{p-1}u\quad\text{in }[1,T]\times (a,b)
$$
with initial-boundary value conditions in a finite time
interval. |
| topic |
Emden-Fowler wave equation existence uniqueness |
| url |
http://ejde.math.txstate.edu/Volumes/2015/145/abstr.html |
| work_keys_str_mv |
AT mengrongli existenceanduniquenessoflocalweaksolutionsfortheemdenfowlerwaveequationinonedimension |
| _version_ |
1725181374698094592 |