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| DOI | 10.1007/S00023-012-0202-Z | ||||
| Año | 2013 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Motivated by recent developments in cosmology and string theory, we introduce a functional calculus appropriate for the study of non-linear nonlocal equations of the form f(Delta)u = U(x, u(x)) on Euclidean space. We prove that under some technical assumptions, these equations admit smooth solutions. We also consider nonlocal equations on compact Riemannian manifolds, and we prove the existence of smooth solutions. Moreover, in the Euclidean case we present conditions on f which guarantee that the solutions we find are, in fact, real-analytic.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Gorka, Przemyslaw | Hombre |
Warsaw Univ Technol - Polonia
Politechnika Warszawska - Polonia |
| 2 | PRADO-CASTILLO, HUMBERTO EDUARDO | Hombre |
Universidad de Santiago de Chile - Chile
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| 3 | REYES-GARCIA, ENRIQUE GONZALO | Hombre |
Universidad de Santiago de Chile - Chile
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| Fuente |
|---|
| FONDECYT |
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| Fondo Nacional de Desarrollo CientÃfico y Tecnológico |
| DICYT USACH |
| Agradecimiento |
|---|
| We thank the referee for his/her constructive remarks and criticism. P. Gorka is partially supported by FONDECYT grant #3100019; E.G. Reyes is partially supported by FONDECYT grants #1070191 and #1111042; H. Prado's research is partially supported by FONDECYT grant #1070127 and DICYT USACH #041133PC. |
| We thank the referee for his/her constructive remarks and criticism. P. Górka is partially supported by FONDECYT grant #3100019; E.G. Reyes is partially supported by FONDECYT grants #1070191 and #1111042; H. Prado’s research is partially supported by FONDECYT grant #1070127 and DICYT USACH #041133PC. |