A mixed problem for semilinear wave equations with acoustic boundary conditions in domains with non-locally reacting boundary
In this article we study the existence, uniqueness and asymptotic stability of solution to the mixed problem for the semilinear wave equation with acoustic boundary conditions in domains with non-locally reacting boundary. We also prove the existence and uniqueness of solution to a problem with...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/243/abstr.html |
| _version_ | 1828482631959838720 |
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| author | Cicero L. Frota Luiz A. Medeiros Andre Vicente |
| author_facet | Cicero L. Frota Luiz A. Medeiros Andre Vicente |
| author_sort | Cicero L. Frota |
| collection | DOAJ |
| description | In this article we study the existence, uniqueness and asymptotic stability
of solution to the mixed problem for the semilinear wave equation with
acoustic boundary conditions in domains with non-locally reacting boundary.
We also prove the existence and uniqueness of solution to a problem
with nonmonotone dissipative term. |
| first_indexed | 2024-12-11T08:18:34Z |
| format | Article |
| id | doaj.art-54794795e9104798bfb651ffa737c05d |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T08:18:34Z |
| publishDate | 2014-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-54794795e9104798bfb651ffa737c05d2022-12-22T01:14:42ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-11-012014243,114A mixed problem for semilinear wave equations with acoustic boundary conditions in domains with non-locally reacting boundaryCicero L. Frota0Luiz A. Medeiros1Andre Vicente2 Univ. Estadual de Maringa, Brazil Univ. Federal do Rio de Janeiro, Brazil Univ. Estadual do Oeste do Parana, Brazil In this article we study the existence, uniqueness and asymptotic stability of solution to the mixed problem for the semilinear wave equation with acoustic boundary conditions in domains with non-locally reacting boundary. We also prove the existence and uniqueness of solution to a problem with nonmonotone dissipative term.http://ejde.math.txstate.edu/Volumes/2014/243/abstr.htmlNonlinear wave equationnon-locally reacting boundaryacoustic boundary conditionsnonlinear boundary conditionstabilization |
| spellingShingle | Cicero L. Frota Luiz A. Medeiros Andre Vicente A mixed problem for semilinear wave equations with acoustic boundary conditions in domains with non-locally reacting boundary Electronic Journal of Differential Equations Nonlinear wave equation non-locally reacting boundary acoustic boundary conditions nonlinear boundary condition stabilization |
| title | A mixed problem for semilinear wave equations with acoustic boundary conditions in domains with non-locally reacting boundary |
| title_full | A mixed problem for semilinear wave equations with acoustic boundary conditions in domains with non-locally reacting boundary |
| title_fullStr | A mixed problem for semilinear wave equations with acoustic boundary conditions in domains with non-locally reacting boundary |
| title_full_unstemmed | A mixed problem for semilinear wave equations with acoustic boundary conditions in domains with non-locally reacting boundary |
| title_short | A mixed problem for semilinear wave equations with acoustic boundary conditions in domains with non-locally reacting boundary |
| title_sort | mixed problem for semilinear wave equations with acoustic boundary conditions in domains with non locally reacting boundary |
| topic | Nonlinear wave equation non-locally reacting boundary acoustic boundary conditions nonlinear boundary condition stabilization |
| url | http://ejde.math.txstate.edu/Volumes/2014/243/abstr.html |
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