Existence of a principal eigenvalue for the Tricomi problem
The existence of a principal eigenvalue is established for the Tricomi problem in normal domains; that is, the existence of a positive eigenvalue of minimum modulus with an associated positive eigenfunction. The argument here uses prior results of the authors on the generalized solvability in weight...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2000-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/05/l4/abstr.html |
| _version_ | 1818776907759484928 |
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| author | Daniela Lupo Kevin R. Payne |
| author_facet | Daniela Lupo Kevin R. Payne |
| author_sort | Daniela Lupo |
| collection | DOAJ |
| description | The existence of a principal eigenvalue is established for the Tricomi problem in normal domains; that is, the existence of a positive eigenvalue of minimum modulus with an associated positive eigenfunction. The argument here uses prior results of the authors on the generalized solvability in weighted Sobolev spaces and associated maximum/minimum principles cite{[LP2]} coupled with known results of Krein-Rutman type. |
| first_indexed | 2024-12-18T11:20:24Z |
| format | Article |
| id | doaj.art-d26f8e3f8fca4d96b8f14ebe98f8c10a |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-18T11:20:24Z |
| publishDate | 2000-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d26f8e3f8fca4d96b8f14ebe98f8c10a2022-12-21T21:09:49ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912000-10-01Conference05173180Existence of a principal eigenvalue for the Tricomi problemDaniela LupoKevin R. PayneThe existence of a principal eigenvalue is established for the Tricomi problem in normal domains; that is, the existence of a positive eigenvalue of minimum modulus with an associated positive eigenfunction. The argument here uses prior results of the authors on the generalized solvability in weighted Sobolev spaces and associated maximum/minimum principles cite{[LP2]} coupled with known results of Krein-Rutman type.http://ejde.math.txstate.edu/conf-proc/05/l4/abstr.htmlTricomi problemmixed type equationsspectral theoryprincipal eigenvaluemaximum principle. |
| spellingShingle | Daniela Lupo Kevin R. Payne Existence of a principal eigenvalue for the Tricomi problem Electronic Journal of Differential Equations Tricomi problem mixed type equations spectral theory principal eigenvalue maximum principle. |
| title | Existence of a principal eigenvalue for the Tricomi problem |
| title_full | Existence of a principal eigenvalue for the Tricomi problem |
| title_fullStr | Existence of a principal eigenvalue for the Tricomi problem |
| title_full_unstemmed | Existence of a principal eigenvalue for the Tricomi problem |
| title_short | Existence of a principal eigenvalue for the Tricomi problem |
| title_sort | existence of a principal eigenvalue for the tricomi problem |
| topic | Tricomi problem mixed type equations spectral theory principal eigenvalue maximum principle. |
| url | http://ejde.math.txstate.edu/conf-proc/05/l4/abstr.html |
| work_keys_str_mv | AT danielalupo existenceofaprincipaleigenvalueforthetricomiproblem AT kevinrpayne existenceofaprincipaleigenvalueforthetricomiproblem |