| Автор | Giampiero Esposito |
| Автор | Alexander Yu Kamenshchik |
| Дата выпуска | 1999-04-01 |
| dc.description | Recent work in the literature has studied fourth-order elliptic operators on manifolds with a boundary. This paper proves that, in the case of the squared Laplace operator, the boundary conditions which require that the eigenfunctions and their normal derivative should vanish at the boundary lead to self-adjointness of the boundary-value problem. On studying, for simplicity, the squared Laplace operator in one dimension, on a closed interval of the real line, alternative conditions which also ensure self-adjointness set to zero, at the boundary, the eigenfunctions and their second derivatives, or their first and third derivatives, or their second and third derivatives, or require periodicity, i.e. a linear relation among the values of the eigenfunctions at the ends of the interval. For the first four choices of boundary conditions, the resulting 1-loop divergence is evaluated for a real scalar field on the portion of flat Euclidean 4-space bounded by a 3-sphere, or by two concentric 3-spheres. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Fourth-order operators on manifolds with a boundary |
| Тип | paper |
| DOI | 10.1088/0264-9381/16/4/001 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 16 |
| Первая страница | 1097 |
| Последняя страница | 1111 |
| Аффилиация | Giampiero Esposito; Università di Napoli Federico II, Dipartimento di Scienze Fisiche, Complesso Universitario di Monte S Angelo, Via Cintia, Edificio G, 80126 Naples, Italy; Landau Network Coordination Centre, `A Volta' Centre for Scientific Culture, Villa Olmo, Via Cantoni 1, 22100 Como, Italy |
| Аффилиация | Alexander Yu Kamenshchik; Università di Napoli Federico II, Dipartimento di Scienze Fisiche, Complesso Universitario di Monte S Angelo, Via Cintia, Edificio G, 80126 Naples, Italy; Landau Network Coordination Centre, `A Volta' Centre for Scientific Culture, Villa Olmo, Via Cantoni 1, 22100 Como, Italy |
| Выпуск | 4 |
