A boundary value problem for the wave equation
Traditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate the question of boundary value problems for h...
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171299228359 |
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| _version_ | 1850216700664872960 |
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| author | Nezam Iraniparast |
| author_facet | Nezam Iraniparast |
| author_sort | Nezam Iraniparast |
| collection | DOAJ |
| description | Traditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate the question of boundary value problems for hyperbolic partial differential equations. In this regard, prescribing data along characteristics as formulated by Kalmenov [5] is of special interest. The most recent works in this area have resulted in a number of interesting discoveries [3, 4, 5, 7, 8]. Our aim here is to extend some of these results to a more general domain which includes the characteristics of the underlying wave equation as a part of its boundary. |
| format | Article |
| id | doaj-art-3691f453d32d4aa8a3b40a8ae8545b16 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3691f453d32d4aa8a3b40a8ae8545b162025-08-20T02:08:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122483584510.1155/S0161171299228359A boundary value problem for the wave equationNezam Iraniparast0Department of Mathematics, Western Kentucky University, Bowling Green 42101, Kentucky, USATraditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate the question of boundary value problems for hyperbolic partial differential equations. In this regard, prescribing data along characteristics as formulated by Kalmenov [5] is of special interest. The most recent works in this area have resulted in a number of interesting discoveries [3, 4, 5, 7, 8]. Our aim here is to extend some of these results to a more general domain which includes the characteristics of the underlying wave equation as a part of its boundary.http://dx.doi.org/10.1155/S0161171299228359Selfadjointeigenvalueeigenfunctioncompact operatorsingular value decompositionFredholm alternative. |
| spellingShingle | Nezam Iraniparast A boundary value problem for the wave equation International Journal of Mathematics and Mathematical Sciences Selfadjoint eigenvalue eigenfunction compact operator singular value decomposition Fredholm alternative. |
| title | A boundary value problem for the wave equation |
| title_full | A boundary value problem for the wave equation |
| title_fullStr | A boundary value problem for the wave equation |
| title_full_unstemmed | A boundary value problem for the wave equation |
| title_short | A boundary value problem for the wave equation |
| title_sort | boundary value problem for the wave equation |
| topic | Selfadjoint eigenvalue eigenfunction compact operator singular value decomposition Fredholm alternative. |
| url | http://dx.doi.org/10.1155/S0161171299228359 |
| work_keys_str_mv | AT nezamiraniparast aboundaryvalueproblemforthewaveequation AT nezamiraniparast boundaryvalueproblemforthewaveequation |