UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM
In this work we are concerned with the existence of strong solutions andexponential decay of the total energy for the initial boundary value problem associatedwith the quasilinear wave equation with nonlinear source, under the assumption thatthe velocity boundary feedback is dissipative. The results...
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional Mayor de San Marcos
2014-09-01
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| Series: | Pesquimat |
| Subjects: | |
| Online Access: | http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9557 |
| _version_ | 1818875239349616640 |
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| author | Eugenio Cabanillas Lapa Víctor Emilio Carrera Barrantes Félix León Barboza Juan Benito Bernui Barros Zacarías Luis Huaringa Segura |
| author_facet | Eugenio Cabanillas Lapa Víctor Emilio Carrera Barrantes Félix León Barboza Juan Benito Bernui Barros Zacarías Luis Huaringa Segura |
| author_sort | Eugenio Cabanillas Lapa |
| collection | DOAJ |
| description | In this work we are concerned with the existence of strong solutions andexponential decay of the total energy for the initial boundary value problem associatedwith the quasilinear wave equation with nonlinear source, under the assumption thatthe velocity boundary feedback is dissipative. The results are proved by means ofthe potential well method, the multiplier technique and suitable unique continuationtheorem for the wave equation with variable coefficients. |
| first_indexed | 2024-12-19T13:23:20Z |
| format | Article |
| id | doaj.art-e4351b2b136a4c68919bd4321b5df17d |
| institution | Directory Open Access Journal |
| issn | 1560-912X 1609-8439 |
| language | Spanish |
| last_indexed | 2024-12-19T13:23:20Z |
| publishDate | 2014-09-01 |
| publisher | Universidad Nacional Mayor de San Marcos |
| record_format | Article |
| series | Pesquimat |
| spelling | doaj.art-e4351b2b136a4c68919bd4321b5df17d2022-12-21T20:19:39ZspaUniversidad Nacional Mayor de San MarcosPesquimat1560-912X1609-84392014-09-0113210.15381/pes.v13i2.95578541UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERMEugenio Cabanillas Lapa0Víctor Emilio Carrera Barrantes1Félix León Barboza2Juan Benito Bernui Barros3Zacarías Luis Huaringa Segura4Instituto de Investigación de la Facultad de Ciencias Matemáticas de la Universidad Nacional Mayor de San Marcos – Lima - Lima – PerúInstituto de Investigación de la Facultad de Ciencias Matemáticas de la Universidad Nacional Mayor de San Marcos – Lima - Lima – PerúInstituto de Investigación de la Facultad de Ciencias Matemáticas de la Universidad Nacional Mayor de San Marcos – Lima - Lima – PerúInstituto de Investigación de la Facultad de Ciencias Matemáticas de la Universidad Nacional Mayor de San Marcos – Lima - Lima – PerúInstituto de Investigación de la Facultad de Ciencias Matemáticas de la Universidad Nacional Mayor de San Marcos – Lima - Lima – PerúIn this work we are concerned with the existence of strong solutions andexponential decay of the total energy for the initial boundary value problem associatedwith the quasilinear wave equation with nonlinear source, under the assumption thatthe velocity boundary feedback is dissipative. The results are proved by means ofthe potential well method, the multiplier technique and suitable unique continuationtheorem for the wave equation with variable coefficients.http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9557Decaimiento exponencialteorema de la continuación única. |
| spellingShingle | Eugenio Cabanillas Lapa Víctor Emilio Carrera Barrantes Félix León Barboza Juan Benito Bernui Barros Zacarías Luis Huaringa Segura UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM Pesquimat Decaimiento exponencial teorema de la continuación única. |
| title | UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM |
| title_full | UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM |
| title_fullStr | UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM |
| title_full_unstemmed | UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM |
| title_short | UNIFORM BOUNDARY STABILIZATION OF QUASILINEAR WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING AND SOURCE TERM |
| title_sort | uniform boundary stabilization of quasilinear wave equation with nonlinear boundary damping and source term |
| topic | Decaimiento exponencial teorema de la continuación única. |
| url | http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9557 |
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