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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/925| NONEXPLOSION OF A CLASS OF SEMILINEAR EQUATIONS VIA BRANCHING PARTICLE REPRESENTATIONS | |
| JOSE ALFREDO LOPEZ MIMBELA | |
| Acceso Abierto | |
| Atribución-NoComercial-CompartirIgual | |
| Procesos de Branching | |
| We consider a branching particle system where an individual particle gives birth to a random number of offspring at the place where it dies. The probability distribution of the number of offspring is given by pk, k = 2, 3, . . . . The corresponding branching process is related to the semilinear partial differential equation ∂u/∂t = Au(t, x) + ∞ k=2 pk(x)uk(t, x) for x ∈ Rd , whereAis the infinitesimal generator of a multiplicative semigroup and the pks, k = 2, 3, . . . , are nonnegative functions such that k pk = 1. We obtain sufficient conditions for the existence of global positive solutions to semilinear equations of this form. Our results extend previous work by Nagasawa and Sirao (1969) and others. | |
| Cambridge University Press | |
| 2008 | |
| Artículo | |
| Inglés | |
| Investigadores | |
| PROCESOS DE MARKOV | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Probababilidad Y Estadística |
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| JALMimbela.pdf | 172.53 kB | Adobe PDF | Visualizar/Abrir |