Finite propagation speed and kernels of strictly elliptic operators
We establish estimates of the resolvent and other related kernels and discuss Lp-theory for a class of strictly elliptic operators on Rn. The class of operators considered in the paper is of the form A0+B with the leading elliptic part A0 and a singular perturbation B, whose coefficients have Lp-typ...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000072 |
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| _version_ | 1832558271871844352 |
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| author | David Gurarie |
| author_facet | David Gurarie |
| author_sort | David Gurarie |
| collection | DOAJ |
| description | We establish estimates of the resolvent and other related kernels and discuss Lp-theory for a class of strictly elliptic operators on Rn. The class of operators considered in the paper is of the form A0+B with the leading elliptic part A0 and a singular perturbation B, whose coefficients have Lp-type and are modeled after Schrödinger operators. |
| format | Article |
| id | doaj-art-c2a263e60b204dce80d05c4ae8f65c3b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c2a263e60b204dce80d05c4ae8f65c3b2025-02-03T01:32:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-0181759110.1155/S0161171285000072Finite propagation speed and kernels of strictly elliptic operatorsDavid Gurarie0Department of Mathematics, Case Western Reserve University, Cleveland 44106, Ohio, USAWe establish estimates of the resolvent and other related kernels and discuss Lp-theory for a class of strictly elliptic operators on Rn. The class of operators considered in the paper is of the form A0+B with the leading elliptic part A0 and a singular perturbation B, whose coefficients have Lp-type and are modeled after Schrödinger operators.http://dx.doi.org/10.1155/S0161171285000072elliptic operatorresolventsemigroupperturbation seriesfinite propagation speed. |
| spellingShingle | David Gurarie Finite propagation speed and kernels of strictly elliptic operators International Journal of Mathematics and Mathematical Sciences elliptic operator resolvent semigroup perturbation series finite propagation speed. |
| title | Finite propagation speed and kernels of strictly elliptic operators |
| title_full | Finite propagation speed and kernels of strictly elliptic operators |
| title_fullStr | Finite propagation speed and kernels of strictly elliptic operators |
| title_full_unstemmed | Finite propagation speed and kernels of strictly elliptic operators |
| title_short | Finite propagation speed and kernels of strictly elliptic operators |
| title_sort | finite propagation speed and kernels of strictly elliptic operators |
| topic | elliptic operator resolvent semigroup perturbation series finite propagation speed. |
| url | http://dx.doi.org/10.1155/S0161171285000072 |
| work_keys_str_mv | AT davidgurarie finitepropagationspeedandkernelsofstrictlyellipticoperators |