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A stochastic fractional Laplace equation driven by colored noise on bounded domain, and its covariance functional
| Indexado |
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| DOI | 10.1080/15326349.2022.2045205 | ||||
| Año | 2022 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
The paper provides conditions for the fractional Laplacian and its spectral representation on stationary Gaussian random fields to be well-defined. In addition, we study existence and uniqueness of the weak solution for a stochastic fractional elliptic equation driven by an additive colored noise over an open bounded set. Both spectral and variational approaches are used to provide a solution. Further, the functional covariance associated with the solution is derived.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | Pina, Nicolas | Hombre |
Universidad Católica de la Santísima Concepción - Chile
|
| 2 | Caraballo, Tomas | Hombre |
Univ Seville - España
Universidad de Sevilla - España |
| 3 | Porcu, Emilio | Hombre |
Khalifa Univ - Emiratos Árabes Unidos
Trinity Coll Dublin - Irlanda Trinity College Dublin - Irlanda |
| Fuente |
|---|
| FEDER |
| European Commission |
| Junta de Andalucía |
| Federación Española de Enfermedades Raras |
| Ministerio de Ciencia, Innovacion y Universidades |
| Agencia de Innovación y Desarrollo de Andalucía |
| FEDER (European Community) |
| Junta de Andalucia (Consejeria de Economia y Conocimiento) |
| Ministerio de Ciencia Innovacion y Universidades (Spain) |
| IMUS (Instituto de Matematicas Universidad de Sevilla) |
| Spanish Ministry of Science and Innovation Finally |
| Consejería de Economía y Conocimiento |
| Agradecimiento |
|---|
| Thanks to IMUS (Instituto de Matem~aticas Universidad de Sevilla) for partially supported the visit of research assistant, Nicol~as Pi~na Le~on, to the University of Sevilla in 2020. The research of T. Caraballo has been partially supported by Ministerio de Ciencia Innovaci~on y Universidades (Spain), FEDER (European Community) under grant PGC2018-096540-BI00, and by FEDER and Junta de Andaluc~ia (Consejer~ia de Econom~ia y Conocimiento) under projects US-1254251 and P18-FR-4509. Agencia de Innovaci~on y Desarrollo de Andaluc~ia and Spanish Ministry of Science and Innovation Finally, we would like to thank the reviewers for their thoughtful comments and effort toward improving our manuscript. |
| Thanks to IMUS (Instituto de Matemáticas Universidad de Sevilla) for partially supported the visit of research assistant, Nicolás Piña León, to the University of Sevilla in 2020. The research of T. Caraballo has been partially supported by Ministerio de Ciencia Innovación y Universidades (Spain), FEDER (European Community) under grant PGC2018-096540-B-I00, and by FEDER and Junta de Andalucía (Consejería de Economía y Conocimiento) under projects US-1254251 and P18-FR-4509. Agencia de Innovación y Desarrollo de Andalucía and Spanish Ministry of Science and Innovation Finally, we would like to thank the reviewers for their thoughtful comments and effort toward improving our manuscript. |
