An inhomogeneous nonlocal diffusion problem with unbounded steps
link https://doi.org/10.1007/s00028-015-0299-xget_appAn inhomogeneous nonlocal diffusion problem with unbounded steps.pdf
account_box Cortazar, Carmenaccount_box Elgueta, Manuelaccount_box Garcia Melian, Jorgeaccount_box Martinez, Salome
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We consider the following nonlocal equation
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| Autor | Cortazar, Carmen Elgueta, Manuel Garcia Melian, Jorge Martinez, Salome |
| Título | An inhomogeneous nonlocal diffusion problem with unbounded steps |
| Revista | JOURNAL OF EVOLUTION EQUATIONS |
| ISSN | 1424-3199 |
| ISSN electrónico | 1424-3202 |
| Volumen | 16 |
| Número de publicación | 1 |
| Página inicio | 209 |
| Página final | 232 |
| Fecha de publicación | 2016 |
| Resumen | We consider the following nonlocal equation integral J (x-y/g(y)) u(y)/g(y) dy - u(x) = 0 x is an element of R, where J is an even, compactly supported, Holder continuous kernel with unit integral and g is a continuous positive function. Our main concern will be with unbounded functions g, contrary to previous works. More precisely, we study the influence of the growth of g at infinity on the integrability of positive solutions of this equation, therefore determining the asymptotic behavior as t -> +infinity of the solutions to the associated evolution problem in terms of the growth of g. |
| Derechos | acceso restringido |
| Agencia financiadora | FONDECYT Basal project CMM U. de Chile CNRS |
| DOI | 10.1007/s00028-015-0299-x |
| Editorial | SPRINGER BASEL AG |
| Enlace | |
| Id de publicación en WoS | WOS:000371622200010 |
| Paginación | 24 páginas |
| Palabra clave | SPREADING SPEEDS MONOSTABLE EQUATIONS STATIONARY SOLUTIONS ASYMPTOTIC-BEHAVIOR TRAVELING-WAVES EXISTENCE UNIQUENESS DISPERSAL FRONTS MODEL |
| Tema ODS | 03 Good Health and Well-being |
| Tema ODS español | 03 Salud y bienestar |
| Tipo de documento | artículo |