On an initial-boundary value problem for the nonlinear Schrödinger equation
We study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. We prove a global existence and uniqueness theorem and establish a Galerkin method for solving numerically the problem....
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1979-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171279000405 |
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| _version_ | 1832567856979509248 |
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| author | Herbert Gajewski |
| author_facet | Herbert Gajewski |
| author_sort | Herbert Gajewski |
| collection | DOAJ |
| description | We study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. We prove a global existence and uniqueness theorem and establish a Galerkin method for solving numerically the problem. |
| format | Article |
| id | doaj-art-3e1f6ee3d17742d99c63836cc4e4adfa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1979-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3e1f6ee3d17742d99c63836cc4e4adfa2025-02-03T01:00:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012350352210.1155/S0161171279000405On an initial-boundary value problem for the nonlinear Schrödinger equationHerbert Gajewski0Akademie der Wissenschaften der DDR, Zentralinstitut für Mathematik und Mechanik, Mohrenstrabe 39, Berlin DDR- 108, GermanyWe study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. We prove a global existence and uniqueness theorem and establish a Galerkin method for solving numerically the problem.http://dx.doi.org/10.1155/S0161171279000405conserved integralsa priori estimatesunique global solutionconvergence of Fourier's method. |
| spellingShingle | Herbert Gajewski On an initial-boundary value problem for the nonlinear Schrödinger equation International Journal of Mathematics and Mathematical Sciences conserved integrals a priori estimates unique global solution convergence of Fourier's method. |
| title | On an initial-boundary value problem for the nonlinear Schrödinger equation |
| title_full | On an initial-boundary value problem for the nonlinear Schrödinger equation |
| title_fullStr | On an initial-boundary value problem for the nonlinear Schrödinger equation |
| title_full_unstemmed | On an initial-boundary value problem for the nonlinear Schrödinger equation |
| title_short | On an initial-boundary value problem for the nonlinear Schrödinger equation |
| title_sort | on an initial boundary value problem for the nonlinear schrodinger equation |
| topic | conserved integrals a priori estimates unique global solution convergence of Fourier's method. |
| url | http://dx.doi.org/10.1155/S0161171279000405 |
| work_keys_str_mv | AT herbertgajewski onaninitialboundaryvalueproblemforthenonlinearschrodingerequation |