Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary
In this article, we prove the existence of solutions for a hyperbolic equation known as the the Rosenau and Benjamin-Bona-Mahony equations. We study increasing, decreasing, and mixed non-cylindrical domains. Our main tools are the Galerkin method, multiplier techniques, and energy estimates.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/35/abstr.html |
| _version_ | 1811275316509802496 |
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| author | Rioco K. Barreto Cruz S. Q. De Caldas Pedro Gamboa Juan Limaco |
| author_facet | Rioco K. Barreto Cruz S. Q. De Caldas Pedro Gamboa Juan Limaco |
| author_sort | Rioco K. Barreto |
| collection | DOAJ |
| description | In this article, we prove the existence of solutions for a hyperbolic equation known as the the Rosenau and Benjamin-Bona-Mahony equations. We study increasing, decreasing, and mixed non-cylindrical domains. Our main tools are the Galerkin method, multiplier techniques, and energy estimates. |
| first_indexed | 2024-04-12T23:37:02Z |
| format | Article |
| id | doaj.art-2e3338588ed046a1a4eeebc5c1f77bba |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T23:37:02Z |
| publishDate | 2004-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-2e3338588ed046a1a4eeebc5c1f77bba2022-12-22T03:12:07ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-03-01200435112Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundaryRioco K. BarretoCruz S. Q. De CaldasPedro GamboaJuan LimacoIn this article, we prove the existence of solutions for a hyperbolic equation known as the the Rosenau and Benjamin-Bona-Mahony equations. We study increasing, decreasing, and mixed non-cylindrical domains. Our main tools are the Galerkin method, multiplier techniques, and energy estimates.http://ejde.math.txstate.edu/Volumes/2004/35/abstr.htmlBenjamin-Bona-Mahony equationRosenau equationnoncylindrical domains. |
| spellingShingle | Rioco K. Barreto Cruz S. Q. De Caldas Pedro Gamboa Juan Limaco Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary Electronic Journal of Differential Equations Benjamin-Bona-Mahony equation Rosenau equation noncylindrical domains. |
| title | Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary |
| title_full | Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary |
| title_fullStr | Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary |
| title_full_unstemmed | Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary |
| title_short | Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary |
| title_sort | existence of solutions to the rosenau and benjamin bona mahony equation in domains with moving boundary |
| topic | Benjamin-Bona-Mahony equation Rosenau equation noncylindrical domains. |
| url | http://ejde.math.txstate.edu/Volumes/2004/35/abstr.html |
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