Pohozaev identities for anisotropic integrodifferential operators
We find and prove new Pohozaev identities and integration by parts type formulas for anisotropic integrodifferential operators of order 2s, with s¿(0,1). These identities involve local boundary terms, in which the quantity (Formula presented.) plays the role that ¿u/¿¿ plays in the second-order case...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/108448 |
| Acesso em linha: | https://hdl.handle.net/2117/108448 https://dx.doi.org/10.1080/03605302.2017.1349148 |
| Access Level: | acceso abierto |
| Palavra-chave: | Pohozaev's identity Nonlocal operator Pohozaev identity stable Lévy processes Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
| Resumo: | We find and prove new Pohozaev identities and integration by parts type formulas for anisotropic integrodifferential operators of order 2s, with s¿(0,1). These identities involve local boundary terms, in which the quantity (Formula presented.) plays the role that ¿u/¿¿ plays in the second-order case. Here, u is any solution to Lu = f(x,u) in O, with u = 0 in RnO, and d is the distance to ¿O. |
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