A nonlocal mixed semilinear problem for second-order hyperbolic equations
In this work we study a nonlinear hyperbolic one-dimensional problem with a nonlocal condition. We establish a blow up result for large initial data and a decay result for small initial data.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/30/abstr.html |
| _version_ | 1811246272789610496 |
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| author | Said Mesloub Salim A. Messaoudi |
| author_facet | Said Mesloub Salim A. Messaoudi |
| author_sort | Said Mesloub |
| collection | DOAJ |
| description | In this work we study a nonlinear hyperbolic one-dimensional problem with a nonlocal condition. We establish a blow up result for large initial data and a decay result for small initial data. |
| first_indexed | 2024-04-12T14:51:03Z |
| format | Article |
| id | doaj.art-cd8f874f44e54dd9916bef255581f761 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T14:51:03Z |
| publishDate | 2003-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-cd8f874f44e54dd9916bef255581f7612022-12-22T03:28:28ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-03-01200330117A nonlocal mixed semilinear problem for second-order hyperbolic equationsSaid MesloubSalim A. MessaoudiIn this work we study a nonlinear hyperbolic one-dimensional problem with a nonlocal condition. We establish a blow up result for large initial data and a decay result for small initial data.http://ejde.math.txstate.edu/Volumes/2003/30/abstr.htmlSemilinear hyperbolic equationintegral conditionstrong solutionexistneceuniquenessblow updecay. |
| spellingShingle | Said Mesloub Salim A. Messaoudi A nonlocal mixed semilinear problem for second-order hyperbolic equations Electronic Journal of Differential Equations Semilinear hyperbolic equation integral condition strong solution existnece uniqueness blow up decay. |
| title | A nonlocal mixed semilinear problem for second-order hyperbolic equations |
| title_full | A nonlocal mixed semilinear problem for second-order hyperbolic equations |
| title_fullStr | A nonlocal mixed semilinear problem for second-order hyperbolic equations |
| title_full_unstemmed | A nonlocal mixed semilinear problem for second-order hyperbolic equations |
| title_short | A nonlocal mixed semilinear problem for second-order hyperbolic equations |
| title_sort | nonlocal mixed semilinear problem for second order hyperbolic equations |
| topic | Semilinear hyperbolic equation integral condition strong solution existnece uniqueness blow up decay. |
| url | http://ejde.math.txstate.edu/Volumes/2003/30/abstr.html |
| work_keys_str_mv | AT saidmesloub anonlocalmixedsemilinearproblemforsecondorderhyperbolicequations AT salimamessaoudi anonlocalmixedsemilinearproblemforsecondorderhyperbolicequations AT saidmesloub nonlocalmixedsemilinearproblemforsecondorderhyperbolicequations AT salimamessaoudi nonlocalmixedsemilinearproblemforsecondorderhyperbolicequations |